Barman, Koushik Kanti; Chanda, Ayan; Tsai, Chia-Cheng A mathematical study of a two-layer fluid flow system in the presence of a floating breakwater in front of VLFS. (English) Zbl 1525.76013 Appl. Math. Modelling 122, 706-730 (2023). MSC: 76B07 76B15 76B55 PDFBibTeX XMLCite \textit{K. K. Barman} et al., Appl. Math. Modelling 122, 706--730 (2023; Zbl 1525.76013) Full Text: DOI
Mola, Andrea; Giuliani, Nicola; Crego, Óscar; Rozza, Gianluigi A unified steady and unsteady formulation for hydrodynamic potential flow simulations with fully nonlinear free surface boundary conditions. (English) Zbl 1525.76014 Appl. Math. Modelling 122, 322-349 (2023). MSC: 76B07 65N30 PDFBibTeX XMLCite \textit{A. Mola} et al., Appl. Math. Modelling 122, 322--349 (2023; Zbl 1525.76014) Full Text: DOI arXiv
Das, Santu; Meylan, Michael H. Time-domain wave response of a compressible ocean due to an arbitrary ocean bottom motion. (English) Zbl 1510.86003 Appl. Math. Modelling 118, 832-852 (2023). MSC: 86A05 86A08 PDFBibTeX XMLCite \textit{S. Das} and \textit{M. H. Meylan}, Appl. Math. Modelling 118, 832--852 (2023; Zbl 1510.86003) Full Text: DOI
Das, Arijit; De, Soumen; Mandal, B. N. Wave interaction with an elliptic disc submerged in a two-layer fluid. (English) Zbl 1510.76030 Appl. Math. Modelling 117, 786-801 (2023). MSC: 76B15 33E10 65M80 PDFBibTeX XMLCite \textit{A. Das} et al., Appl. Math. Modelling 117, 786--801 (2023; Zbl 1510.76030) Full Text: DOI
Bermúdez, A.; Crego, O.; Prieto, A. Upwind finite element-PML approximation of a novel linear potential model for free surface flows produced by a floating rigid body. (English) Zbl 1525.76061 Appl. Math. Modelling 103, 824-853 (2022). MSC: 76M10 76B15 76B07 PDFBibTeX XMLCite \textit{A. Bermúdez} et al., Appl. Math. Modelling 103, 824--853 (2022; Zbl 1525.76061) Full Text: DOI
Li, Ji; Cao, Zhixian; Borthwick, Alistair G. L. Quantifying multiple uncertainties in modelling shallow water-sediment flows: a stochastic Galerkin framework with Haar wavelet expansion and an operator-splitting approach. (English) Zbl 1503.76015 Appl. Math. Modelling 106, 259-275 (2022). MSC: 76B15 65M60 PDFBibTeX XMLCite \textit{J. Li} et al., Appl. Math. Modelling 106, 259--275 (2022; Zbl 1503.76015) Full Text: DOI
Jang, T. S.; Sung, H. G. New nonlinear theory for a piston-type wavemaker: the classical Boussinesq equations. (English) Zbl 1481.76047 Appl. Math. Modelling 91, 43-57 (2021). MSC: 76B15 PDFBibTeX XMLCite \textit{T. S. Jang} and \textit{H. G. Sung}, Appl. Math. Modelling 91, 43--57 (2021; Zbl 1481.76047) Full Text: DOI
Jia, Xiaoyang; Lu, Aizhong; Cai, Hui; Ma, Yaocai An analytical method for solving gravity-induced stresses in slope. (English) Zbl 1481.74019 Appl. Math. Modelling 98, 665-679 (2021). MSC: 74A10 74S70 PDFBibTeX XMLCite \textit{X. Jia} et al., Appl. Math. Modelling 98, 665--679 (2021; Zbl 1481.74019) Full Text: DOI
Biswas, Tirtha Roy; Dey, Subhasish; Sen, Dhrubajyoti Modeling positive surge propagation in open channels using the Serre-Green-Naghdi equations. (English) Zbl 1481.76042 Appl. Math. Modelling 97, 803-820 (2021). MSC: 76B15 76M12 PDFBibTeX XMLCite \textit{T. R. Biswas} et al., Appl. Math. Modelling 97, 803--820 (2021; Zbl 1481.76042) Full Text: DOI
Daşcıoğlu, Ayşegül; Çulha Ünal, Sevil New exact solutions for the space-time fractional Kawahara equation. (English) Zbl 1481.35378 Appl. Math. Modelling 89, Part 1, 952-965 (2021). MSC: 35R11 76B15 PDFBibTeX XMLCite \textit{A. Daşcıoğlu} and \textit{S. Çulha Ünal}, Appl. Math. Modelling 89, Part 1, 952--965 (2021; Zbl 1481.35378) Full Text: DOI
Sotoudehnia, Ebrahim; Shahabian, Farzad; Sani, Ahmad Aftabi A dynamic order reduction method for fluid-structure systems. (English) Zbl 1485.74022 Appl. Math. Modelling 89, Part 1, 136-153 (2021). MSC: 74F10 74H45 74H15 PDFBibTeX XMLCite \textit{E. Sotoudehnia} et al., Appl. Math. Modelling 89, Part 1, 136--153 (2021; Zbl 1485.74022) Full Text: DOI
Papadimitriou, Andreas G.; Chondros, Michalis K.; Metallinos, Anastasios S.; Memos, Constantine D.; Tsoukala, Vasiliki K. Simulating wave transmission in the lee of a breakwater in spectral models due to overtopping. (English) Zbl 1481.76049 Appl. Math. Modelling 88, 743-757 (2020). MSC: 76B15 86A05 PDFBibTeX XMLCite \textit{A. G. Papadimitriou} et al., Appl. Math. Modelling 88, 743--757 (2020; Zbl 1481.76049) Full Text: DOI
Sismani, Georgia; Loukogeorgaki, Eva Frequency-based investigation of a floating wave energy converter system with multiple flaps. (English) Zbl 1481.74161 Appl. Math. Modelling 84, 522-535 (2020). MSC: 74F10 74F15 76B15 PDFBibTeX XMLCite \textit{G. Sismani} and \textit{E. Loukogeorgaki}, Appl. Math. Modelling 84, 522--535 (2020; Zbl 1481.74161) Full Text: DOI
Konispoliatis, Dimitrios N.; Chatjigeorgiou, Ioannis K.; Mavrakos, Spyridon A. Near trapped wave phenomena in an array of truncated cylinders in a perpendicular arrangement in front of a vertical breakwater. (English) Zbl 1481.76048 Appl. Math. Modelling 83, 497-525 (2020). MSC: 76B15 PDFBibTeX XMLCite \textit{D. N. Konispoliatis} et al., Appl. Math. Modelling 83, 497--525 (2020; Zbl 1481.76048) Full Text: DOI
Zhang, Chengxiao; Wang, Lingling; Zhu, Hai; Tang, Hongwu Integrated hydrodynamic model for simulation of river-lake-sluice interactions. (English) Zbl 1481.86012 Appl. Math. Modelling 83, 90-106 (2020). MSC: 86A05 74F10 76B15 86-10 PDFBibTeX XMLCite \textit{C. Zhang} et al., Appl. Math. Modelling 83, 90--106 (2020; Zbl 1481.86012) Full Text: DOI
Dai, Chao-Qing; Wang, Yue-Yue; Fan, Yan; Zhang, Jie-Fang Interactions between exotic multi-valued solitons of the \((2+1)\)-dimensional Korteweg-de Vries equation describing shallow water wave. (English) Zbl 1481.35351 Appl. Math. Modelling 80, 506-515 (2020). MSC: 35Q53 37K40 76B15 PDFBibTeX XMLCite \textit{C.-Q. Dai} et al., Appl. Math. Modelling 80, 506--515 (2020; Zbl 1481.35351) Full Text: DOI
Zheng, Siming; Zhang, Yongliang; Liu, Jiabin; Iglesias, Gregorio Wave diffraction from multiple truncated cylinders of arbitrary cross sections. (English) Zbl 1481.76051 Appl. Math. Modelling 77, Part 2, 1425-1445 (2020). MSC: 76B15 PDFBibTeX XMLCite \textit{S. Zheng} et al., Appl. Math. Modelling 77, Part 2, 1425--1445 (2020; Zbl 1481.76051) Full Text: DOI Link
Liang, Hui; Wu, Huiyu; He, Jiayi; Noblesse, Francis Kelvin-Havelock-Peters approximations to a classical generic wave integral. (English) Zbl 1443.76114 Appl. Math. Modelling 77, Part 1, 950-962 (2020). MSC: 76B20 PDFBibTeX XMLCite \textit{H. Liang} et al., Appl. Math. Modelling 77, Part 1, 950--962 (2020; Zbl 1443.76114) Full Text: DOI
Maranzoni, Andrea; Mignosa, Paolo Seismic-generated unsteady motions in shallow basins and channels. II: Numerical modelling. (English) Zbl 1481.86021 Appl. Math. Modelling 68, 712-731 (2019). MSC: 86A15 76B15 PDFBibTeX XMLCite \textit{A. Maranzoni} and \textit{P. Mignosa}, Appl. Math. Modelling 68, 712--731 (2019; Zbl 1481.86021) Full Text: DOI
Maranzoni, Andrea; Mignosa, Paolo Seismic-generated unsteady motions in shallow basins and channels. I: Smooth analytical solutions. (English) Zbl 1481.86020 Appl. Math. Modelling 68, 696-711 (2019). MSC: 86A15 76B15 PDFBibTeX XMLCite \textit{A. Maranzoni} and \textit{P. Mignosa}, Appl. Math. Modelling 68, 696--711 (2019; Zbl 1481.86020) Full Text: DOI
Su, Huaizhi; Li, Jinyou; Wen, Zhiping; Guo, Zhiyun; Zhou, Renlian Integrated certainty and uncertainty evaluation approach for seepage control effectiveness of a gravity dam. (English) Zbl 1480.86005 Appl. Math. Modelling 65, 1-22 (2019). MSC: 86A05 76S05 PDFBibTeX XMLCite \textit{H. Su} et al., Appl. Math. Modelling 65, 1--22 (2019; Zbl 1480.86005) Full Text: DOI
Kar, P.; Koley, S.; Sahoo, T. Scattering of surface gravity waves over a pair of trenches. (English) Zbl 1460.76100 Appl. Math. Modelling 62, 303-320 (2018). MSC: 76B15 76M15 PDFBibTeX XMLCite \textit{P. Kar} et al., Appl. Math. Modelling 62, 303--320 (2018; Zbl 1460.76100) Full Text: DOI
Selima, Ehab S.; Mao, Yadan; Yao, Xiaohua; Morad, Adel M.; Abdelhamid, Talaat; Selim, Basem I. Applicable symbolic computations on dynamics of small-amplitude long waves and Davey-Stewartson equations in finite water depth. (English) Zbl 1480.76018 Appl. Math. Modelling 57, 376-390 (2018). MSC: 76B15 37M05 PDFBibTeX XMLCite \textit{E. S. Selima} et al., Appl. Math. Modelling 57, 376--390 (2018; Zbl 1480.76018) Full Text: DOI
do Carmo, J. S. A.; Ferreira, J. A.; Pinto, L.; Romanazzi, G. An improved Serre model: efficient simulation and comparative evaluation. (English) Zbl 1480.76015 Appl. Math. Modelling 56, 404-423 (2018). MSC: 76B15 86A05 PDFBibTeX XMLCite \textit{J. S. A. do Carmo} et al., Appl. Math. Modelling 56, 404--423 (2018; Zbl 1480.76015) Full Text: DOI
Francisco, Ezequiel P.; Espath, L. F. R.; Silvestrini, J. H. Direct numerical simulation of bi-disperse particle-laden gravity currents in the channel configuration. (English) Zbl 1480.76135 Appl. Math. Modelling 49, 739-752 (2017). MSC: 76T20 PDFBibTeX XMLCite \textit{E. P. Francisco} et al., Appl. Math. Modelling 49, 739--752 (2017; Zbl 1480.76135) Full Text: DOI
Hasheminejad, Seyyed M.; Soleimani, H. An analytical solution for free liquid sloshing in a finite-length horizontal cylindrical container filled to an arbitrary depth. (English) Zbl 1480.76010 Appl. Math. Modelling 48, 338-352 (2017). MSC: 76B10 86A15 PDFBibTeX XMLCite \textit{S. M. Hasheminejad} and \textit{H. Soleimani}, Appl. Math. Modelling 48, 338--352 (2017; Zbl 1480.76010) Full Text: DOI
Zoppou, Christopher; Pitt, Jordan; Roberts, Stephen G. Numerical solution of the fully non-linear weakly dispersive Serre equations for steep gradient flows. (English) Zbl 1464.76075 Appl. Math. Modelling 48, 70-95 (2017). MSC: 76M12 76M20 76B15 86A05 PDFBibTeX XMLCite \textit{C. Zoppou} et al., Appl. Math. Modelling 48, 70--95 (2017; Zbl 1464.76075) Full Text: DOI
Duran, Arnaud; Marche, Fabien A discontinuous Galerkin method for a new class of Green-Naghdi equations on simplicial unstructured meshes. (English) Zbl 1446.76016 Appl. Math. Modelling 45, 840-864 (2017). MSC: 76-10 76B15 76M10 PDFBibTeX XMLCite \textit{A. Duran} and \textit{F. Marche}, Appl. Math. Modelling 45, 840--864 (2017; Zbl 1446.76016) Full Text: DOI arXiv
Ginting, Bobby Minola A two-dimensional artificial viscosity technique for modelling discontinuity in shallow water flows. (English) Zbl 1446.76023 Appl. Math. Modelling 45, 653-683 (2017). MSC: 76-10 76M12 76B15 PDFBibTeX XMLCite \textit{B. M. Ginting}, Appl. Math. Modelling 45, 653--683 (2017; Zbl 1446.76023) Full Text: DOI
Omar, H. A.; Hocking, G. C. Dense underflow into a lake or reservoir – supercritical flow solutions. (English) Zbl 1443.76060 Appl. Math. Modelling 42, 449-461 (2017). MSC: 76-10 76B07 PDFBibTeX XMLCite \textit{H. A. Omar} and \textit{G. C. Hocking}, Appl. Math. Modelling 42, 449--461 (2017; Zbl 1443.76060) Full Text: DOI
van Groesen, E.; Andonowati Hamiltonian Boussinesq formulation of wave-ship interactions. (English) Zbl 1443.76082 Appl. Math. Modelling 42, 133-144 (2017). MSC: 76-10 76B15 PDFBibTeX XMLCite \textit{E. van Groesen} and \textit{Andonowati}, Appl. Math. Modelling 42, 133--144 (2017; Zbl 1443.76082) Full Text: DOI
Omar, H. A.; Hocking, G. C. Dense underflow into a lake or reservoir – sub-critical flow. (English) Zbl 1443.86015 Appl. Math. Modelling 46, 465-475 (2017). MSC: 86-10 PDFBibTeX XMLCite \textit{H. A. Omar} and \textit{G. C. Hocking}, Appl. Math. Modelling 46, 465--475 (2017; Zbl 1443.86015) Full Text: DOI
Faltinsen, Odd M.; Timokha, Alexander N. Undamped eigenperiods of a sea-based gravity monotower. (English) Zbl 1471.76016 Appl. Math. Modelling 40, No. 19-20, 8217-8243 (2016). MSC: 76B10 76B15 70E55 PDFBibTeX XMLCite \textit{O. M. Faltinsen} and \textit{A. N. Timokha}, Appl. Math. Modelling 40, No. 19--20, 8217--8243 (2016; Zbl 1471.76016) Full Text: DOI
Bruwier, Martin; Archambeau, Pierre; Erpicum, Sébastien; Pirotton, Michel; Dewals, Benjamin Discretization of the divergence formulation of the bed slope term in the shallow-water equations and consequences in terms of energy balance. (English) Zbl 1471.65113 Appl. Math. Modelling 40, No. 17-18, 7532-7544 (2016). MSC: 65M08 76B15 76M12 86A05 PDFBibTeX XMLCite \textit{M. Bruwier} et al., Appl. Math. Modelling 40, No. 17--18, 7532--7544 (2016; Zbl 1471.65113) Full Text: DOI
Berry, J. D.; Liovic, P.; Šutalo, I. D.; Stewart, R. L.; Glattauer, V.; Meagher, L. Characterisation of stresses on microcarriers in a stirred bioreactor. (English) Zbl 1471.76039 Appl. Math. Modelling 40, No. 15-16, 6787-6804 (2016). MSC: 76F25 76B15 92C99 PDFBibTeX XMLCite \textit{J. D. Berry} et al., Appl. Math. Modelling 40, No. 15--16, 6787--6804 (2016; Zbl 1471.76039) Full Text: DOI
Xu, G.; Hamouda, A. M. S.; Khoo, B. C. Time-domain simulation of second-order irregular wave diffraction based on a hybrid water wave radiation condition. (English) Zbl 1459.86009 Appl. Math. Modelling 40, No. 7-8, 4451-4467 (2016). MSC: 86A05 74F10 76B15 PDFBibTeX XMLCite \textit{G. Xu} et al., Appl. Math. Modelling 40, No. 7--8, 4451--4467 (2016; Zbl 1459.86009) Full Text: DOI
Touma, Rony Well-balanced central schemes for systems of shallow water equations with wet and dry states. (English) Zbl 1452.65193 Appl. Math. Modelling 40, No. 4, 2929-2945 (2016). MSC: 65M08 76B15 76M12 PDFBibTeX XMLCite \textit{R. Touma}, Appl. Math. Modelling 40, No. 4, 2929--2945 (2016; Zbl 1452.65193) Full Text: DOI
Morales-Hernández, M.; Petaccia, G.; Brufau, P.; García-Navarro, P. Conservative 1D-2D coupled numerical strategies applied to river flooding: the Tiber (Rome). (English) Zbl 1452.76126 Appl. Math. Modelling 40, No. 3, 2087-2105 (2016). MSC: 76M12 76B15 86A05 PDFBibTeX XMLCite \textit{M. Morales-Hernández} et al., Appl. Math. Modelling 40, No. 3, 2087--2105 (2016; Zbl 1452.76126) Full Text: DOI
Dutykh, Denys; Clamond, Didier Modified shallow water equations for significantly varying seabeds. (English) Zbl 1443.76022 Appl. Math. Modelling 40, No. 23-24, 9767-9787 (2016). MSC: 76-10 76B15 86A05 PDFBibTeX XMLCite \textit{D. Dutykh} and \textit{D. Clamond}, Appl. Math. Modelling 40, No. 23--24, 9767--9787 (2016; Zbl 1443.76022) Full Text: DOI arXiv
Lee, Sunmi; Whang, Sungim Trapped supercritical waves for the forced KdV equation with two bumps. (English) Zbl 1443.76111 Appl. Math. Modelling 39, No. 9, 2649-2660 (2015). MSC: 76B15 35Q53 PDFBibTeX XMLCite \textit{S. Lee} and \textit{S. Whang}, Appl. Math. Modelling 39, No. 9, 2649--2660 (2015; Zbl 1443.76111) Full Text: DOI
Kesserwani, Georges; Liang, Qiuhua RKDG2 shallow-water solver on non-uniform grids with local time steps: application to 1D and 2D hydrodynamics. (English) Zbl 1432.76159 Appl. Math. Modelling 39, No. 3-4, 1317-1340 (2015). MSC: 76M10 65M60 76B15 PDFBibTeX XMLCite \textit{G. Kesserwani} and \textit{Q. Liang}, Appl. Math. Modelling 39, No. 3--4, 1317--1340 (2015; Zbl 1432.76159) Full Text: DOI
Viviano, Antonino; Musumeci, Rosaria E.; Foti, Enrico A nonlinear rotational, quasi-2DH, numerical model for spilling wave propagation. (English) Zbl 1432.76064 Appl. Math. Modelling 39, No. 3-4, 1099-1118 (2015). MSC: 76B15 76M10 86A05 PDFBibTeX XMLCite \textit{A. Viviano} et al., Appl. Math. Modelling 39, No. 3--4, 1099--1118 (2015; Zbl 1432.76064) Full Text: DOI
Yoshioka, Hidekazu; Unami, Koichi; Fujihara, Masayuki A dual finite volume method scheme for catastrophic flash floods in channel networks. (English) Zbl 1428.76126 Appl. Math. Modelling 39, No. 1, 205-229 (2015). MSC: 76M12 76B15 PDFBibTeX XMLCite \textit{H. Yoshioka} et al., Appl. Math. Modelling 39, No. 1, 205--229 (2015; Zbl 1428.76126) Full Text: DOI
Prakash, Mahesh; Rothauge, Kai; Cleary, Paul W. Modelling the impact of dam failure scenarios on flood inundation using SPH. (English) Zbl 1449.76011 Appl. Math. Modelling 38, No. 23, 5515-5534 (2014). MSC: 76B15 76M28 76L05 PDFBibTeX XMLCite \textit{M. Prakash} et al., Appl. Math. Modelling 38, No. 23, 5515--5534 (2014; Zbl 1449.76011) Full Text: DOI
Zhang, Jun; Xu, Chuanju Finite difference/spectral approximations to a water wave model with a nonlocal viscous term. (English) Zbl 1428.76149 Appl. Math. Modelling 38, No. 19-20, 4912-4925 (2014). MSC: 76M22 76M20 76B15 35Q35 65M12 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{C. Xu}, Appl. Math. Modelling 38, No. 19--20, 4912--4925 (2014; Zbl 1428.76149) Full Text: DOI
Jianhong, Ye; Dongsheng, Jeng; Ren, Wang; Changqi, Zhu Numerical study of the stability of breakwater built on a sloped porous seabed under tsunami loading. (English) Zbl 1449.86003 Appl. Math. Modelling 37, No. 23, 9575-9590 (2013). MSC: 86A15 76B25 76B15 76M20 74L10 PDFBibTeX XMLCite \textit{Y. Jianhong} et al., Appl. Math. Modelling 37, No. 23, 9575--9590 (2013; Zbl 1449.86003) Full Text: DOI
Liu, Yi; Zhou, Jianzhong; Song, Lixiang; Zou, Qiang; Liao, Li; Wang, Yueran Numerical modelling of free-surface shallow flows over irregular topography with complex geometry. (English) Zbl 1427.76163 Appl. Math. Modelling 37, No. 23, 9482-9498 (2013). MSC: 76M12 76B15 PDFBibTeX XMLCite \textit{Y. Liu} et al., Appl. Math. Modelling 37, No. 23, 9482--9498 (2013; Zbl 1427.76163) Full Text: DOI
Longo, S.; Chiapponi, L.; Liang, D. Analytical study of the water surface fluctuations induced by grid-stirred turbulence. (English) Zbl 1438.76022 Appl. Math. Modelling 37, No. 12-13, 7206-7222 (2013). MSC: 76F10 76F05 76B15 PDFBibTeX XMLCite \textit{S. Longo} et al., Appl. Math. Modelling 37, No. 12--13, 7206--7222 (2013; Zbl 1438.76022) Full Text: DOI
Saghi, H.; Ketabdari, M. J.; Zamirian, M. A novel algorithm based on parameterization method for calculation of curvature of the free surface flows. (English) Zbl 1349.76527 Appl. Math. Modelling 37, No. 1-2, 570-585 (2013). MSC: 76M20 76B15 PDFBibTeX XMLCite \textit{H. Saghi} et al., Appl. Math. Modelling 37, No. 1--2, 570--585 (2013; Zbl 1349.76527) Full Text: DOI
Doheim, M. A.; Gawad, A. F. Abdel; Mahran, G. M. A.; Abu-Ali, M. H.; Rizk, A. M. Numerical simulation of particulate-flow in spiral separators. I: Low solids concentration (0.3% & 3% solids). (English) Zbl 1349.76602 Appl. Math. Modelling 37, No. 1-2, 198-215 (2013). MSC: 76M25 76T20 76F99 PDFBibTeX XMLCite \textit{M. A. Doheim} et al., Appl. Math. Modelling 37, No. 1--2, 198--215 (2013; Zbl 1349.76602) Full Text: DOI
Benkhaldoun, Fayssal; Sari, Saida; Seaid, Mohammed A flux-limiter method for dam-break flows over erodible sediment beds. (English) Zbl 1252.76050 Appl. Math. Modelling 36, No. 10, 4847-4861 (2012). MSC: 76M12 76B15 PDFBibTeX XMLCite \textit{F. Benkhaldoun} et al., Appl. Math. Modelling 36, No. 10, 4847--4861 (2012; Zbl 1252.76050) Full Text: DOI
Hieu, Phung Dang; Phan Ngoc Vinh Numerical study of wave overtopping of a seawall supported by porous structures. (English) Zbl 1246.76126 Appl. Math. Modelling 36, No. 6, 2803-2813 (2012). MSC: 76M25 76B15 76S05 PDFBibTeX XMLCite \textit{P. D. Hieu} and \textit{Phan Ngoc Vinh}, Appl. Math. Modelling 36, No. 6, 2803--2813 (2012; Zbl 1246.76126) Full Text: DOI
Imani, A. A.; Ganji, D. D.; Rokni, Houman B.; Latifizadeh, H.; Hesameddini, Esmail; Rafiee, M. Hadi Approximate traveling wave solution for shallow water wave equation. (English) Zbl 1243.76070 Appl. Math. Modelling 36, No. 4, 1550-1557 (2012). MSC: 76M25 76B15 PDFBibTeX XMLCite \textit{A. A. Imani} et al., Appl. Math. Modelling 36, No. 4, 1550--1557 (2012; Zbl 1243.76070) Full Text: DOI
Abd-Alla, A. M.; Abo-Dahab, S. M.; Hammad, H. A. H. Propagation of Rayleigh waves in generalized magneto-thermoelastic orthotropic material under initial stress and gravity field. (English) Zbl 1219.74022 Appl. Math. Modelling 35, No. 6, 2981-3000 (2011). MSC: 74J15 74F15 PDFBibTeX XMLCite \textit{A. M. Abd-Alla} et al., Appl. Math. Modelling 35, No. 6, 2981--3000 (2011; Zbl 1219.74022) Full Text: DOI
Modhien, N.; Momoniat, E. An investigation on the influence of slot injection/suction on the spreading of a thin film under gravity on a rotating disk. (English) Zbl 1211.76019 Appl. Math. Modelling 35, No. 3, 1264-1270 (2011). MSC: 76A20 PDFBibTeX XMLCite \textit{N. Modhien} and \textit{E. Momoniat}, Appl. Math. Modelling 35, No. 3, 1264--1270 (2011; Zbl 1211.76019) Full Text: DOI
Ramadan, Khaled T.; Hassan, Hossam S.; Hanna, Sarwat N. Modeling of tsunami generation and propagation by a spreading curvilinear seismic faulting in linearized shallow-water wave theory. (English) Zbl 1202.86007 Appl. Math. Modelling 35, No. 1, 61-79 (2011). MSC: 86A05 76B15 PDFBibTeX XMLCite \textit{K. T. Ramadan} et al., Appl. Math. Modelling 35, No. 1, 61--79 (2011; Zbl 1202.86007) Full Text: DOI
Akköse, Mehmet; Şimşek, Erman Non-linear seismic response of concrete gravity dams to near-fault ground motions including dam-water-sediment-foundation interaction. (English) Zbl 1201.74074 Appl. Math. Modelling 34, No. 11, 3685-3700 (2010). MSC: 74C05 74F10 76S05 86A15 PDFBibTeX XMLCite \textit{M. Akköse} and \textit{E. Şimşek}, Appl. Math. Modelling 34, No. 11, 3685--3700 (2010; Zbl 1201.74074) Full Text: DOI
Piterbarg, Leonid I. Computing Lagrangian statistics from tracer observations and a model output. (English) Zbl 1201.86012 Appl. Math. Modelling 34, No. 11, 3674-3684 (2010). MSC: 86A32 76B15 PDFBibTeX XMLCite \textit{L. I. Piterbarg}, Appl. Math. Modelling 34, No. 11, 3674--3684 (2010; Zbl 1201.86012) Full Text: DOI
Xie, Jieshuo; Jian, Yongjun; Yang, Liangui Strongly nonlinear internal soliton load on a small vertical circular cylinder in two-layer fluids. (English) Zbl 1193.76028 Appl. Math. Modelling 34, No. 8, 2089-2101 (2010). MSC: 76B25 76B15 PDFBibTeX XMLCite \textit{J. Xie} et al., Appl. Math. Modelling 34, No. 8, 2089--2101 (2010; Zbl 1193.76028) Full Text: DOI
Zamani, Ahmadreza; Azimian, Ahmadreza; Heemink, Arnold; Solomatine, Dimitri Non-linear wave data assimilation with an ANN-type wind-wave model and ensemble Kalman filter (EnKF). (English) Zbl 1193.86010 Appl. Math. Modelling 34, No. 8, 1984-1999 (2010). MSC: 86A32 62M20 76B15 PDFBibTeX XMLCite \textit{A. Zamani} et al., Appl. Math. Modelling 34, No. 8, 1984--1999 (2010; Zbl 1193.86010) Full Text: DOI
Demiray, Hilmi Multiple time scale formalism and its application to long water waves. (English) Zbl 1186.76626 Appl. Math. Modelling 34, No. 5, 1187-1193 (2010). MSC: 76B15 35Q53 PDFBibTeX XMLCite \textit{H. Demiray}, Appl. Math. Modelling 34, No. 5, 1187--1193 (2010; Zbl 1186.76626) Full Text: DOI
Wu, Ranchao; Wang, Wei Bifurcation and nonsmooth dynamics of solitary waves in the generalized long-short wave equations. (English) Zbl 1185.35269 Appl. Math. Modelling 33, No. 5, 2218-2225 (2009). MSC: 35Q55 37G99 35Q51 37K40 76B15 PDFBibTeX XMLCite \textit{R. Wu} and \textit{W. Wang}, Appl. Math. Modelling 33, No. 5, 2218--2225 (2009; Zbl 1185.35269) Full Text: DOI
Jian, Y. J.; Zhu, Q. Y.; Zhang, Jie; Wang, Y. F. Third order approximation to capillary gravity short crested waves with uniform currents. (English) Zbl 1205.76190 Appl. Math. Modelling 33, No. 4, 2035-2053 (2009). MSC: 76M25 76B15 PDFBibTeX XMLCite \textit{Y. J. Jian} et al., Appl. Math. Modelling 33, No. 4, 2035--2053 (2009; Zbl 1205.76190) Full Text: DOI
Neves, Marcelo A. S.; Rodríguez, Claudio A. A coupled non-linear mathematical model of parametric resonance of ships in head seas. (English) Zbl 1205.76061 Appl. Math. Modelling 33, No. 6, 2630-2645 (2009). MSC: 76B15 76B20 70K40 PDFBibTeX XMLCite \textit{M. A. S. Neves} and \textit{C. A. Rodríguez}, Appl. Math. Modelling 33, No. 6, 2630--2645 (2009; Zbl 1205.76061) Full Text: DOI
Haq, Sirajul; Siraj-Ul-Islam; Uddin, Marjan A mesh-free method for the numerical solution of the KdV-Burgers equation. (English) Zbl 1205.65233 Appl. Math. Modelling 33, No. 8, 3442-3449 (2009). MSC: 65M06 35Q53 76B15 35Q35 PDFBibTeX XMLCite \textit{S. Haq} et al., Appl. Math. Modelling 33, No. 8, 3442--3449 (2009; Zbl 1205.65233) Full Text: DOI
Hassan, F. M. Boundary integral method applied to the propagation of non-linear gravity waves generated by a moving bottom. (English) Zbl 1167.76313 Appl. Math. Modelling 33, No. 1, 451-466 (2009). MSC: 76B15 35Q35 65N38 76M15 PDFBibTeX XMLCite \textit{F. M. Hassan}, Appl. Math. Modelling 33, No. 1, 451--466 (2009; Zbl 1167.76313) Full Text: DOI
Liu, Shu-Xue; Sun, Bing; Sun, Zhong-Bin; Li, Jin-Xuan Self-adaptive FEM numerical modeling of the mild-slope equation. (English) Zbl 1167.86300 Appl. Math. Modelling 32, No. 12, 2775-2791 (2008). MSC: 86-08 86A05 76M10 76B15 PDFBibTeX XMLCite \textit{S.-X. Liu} et al., Appl. Math. Modelling 32, No. 12, 2775--2791 (2008; Zbl 1167.86300) Full Text: DOI
Godoy, Eduardo; Osses, Axel; Ortega, Jaime H.; Valencia, Alvaro Modeling and control of surface gravity waves in a model of a copper converter. (English) Zbl 1145.76356 Appl. Math. Modelling 32, No. 9, 1696-1710 (2008). MSC: 76D33 76D55 PDFBibTeX XMLCite \textit{E. Godoy} et al., Appl. Math. Modelling 32, No. 9, 1696--1710 (2008; Zbl 1145.76356) Full Text: DOI
Wu, Chin H.; Yuan, Hengliang Efficient non-hydrostatic modelling of surface waves interacting with structures. (English) Zbl 1421.74031 Appl. Math. Modelling 31, No. 4, 687-699 (2007). MSC: 74F10 76M25 76B07 76B15 PDFBibTeX XMLCite \textit{C. H. Wu} and \textit{H. Yuan}, Appl. Math. Modelling 31, No. 4, 687--699 (2007; Zbl 1421.74031) Full Text: DOI
Oliveira, Filipa Simões Brito Ferreira Application of a Krylov subspace iterative method in a multi-level adaptive technique to solve the mild-slope equation in nearshore regions. (English) Zbl 1375.76131 Appl. Math. Modelling 31, No. 4, 655-662 (2007). MSC: 76M25 76B15 86A05 PDFBibTeX XMLCite \textit{F. S. B. F. Oliveira}, Appl. Math. Modelling 31, No. 4, 655--662 (2007; Zbl 1375.76131) Full Text: DOI
Lin, Pengzhi; Man, Chuanjian A staggered-grid numerical algorithm for the extended Boussinesq equations. (English) Zbl 1169.76042 Appl. Math. Modelling 31, No. 2, 349-368 (2007). MSC: 76M20 76B15 PDFBibTeX XMLCite \textit{P. Lin} and \textit{C. Man}, Appl. Math. Modelling 31, No. 2, 349--368 (2007; Zbl 1169.76042) Full Text: DOI
Mohammadian, Abdolmajid M.; Le Roux, D. Y.; Tajrishi, M. A conservative extension of the method of characteristics for 1-D shallow flows. (English) Zbl 1151.76027 Appl. Math. Modelling 31, No. 2, 332-348 (2007). MSC: 76M25 76B15 65M25 PDFBibTeX XMLCite \textit{A. M. Mohammadian} et al., Appl. Math. Modelling 31, No. 2, 332--348 (2007; Zbl 1151.76027) Full Text: DOI
Andonowati; Karjanto, N.; van Groesen, E. Extreme wave phenomena in down-stream running modulated waves. (English) Zbl 1235.76017 Appl. Math. Modelling 31, No. 7, 1425-1443 (2007). MSC: 76B25 35Q51 35Q55 35B30 76E30 76B15 PDFBibTeX XMLCite \textit{Andonowati} et al., Appl. Math. Modelling 31, No. 7, 1425--1443 (2007; Zbl 1235.76017) Full Text: DOI arXiv Link
Boñgolan-Walsh, Vena Pearl; Duan, Jinqiao; Fischer, Paul; Özgökmen, Tamay; Iliescu, Traian Impact of boundary conditions on entrainment and transport in gravity currents. (English) Zbl 1388.76030 Appl. Math. Modelling 31, No. 7, 1338-1350 (2007). MSC: 76B15 76-05 PDFBibTeX XMLCite \textit{V. P. Boñgolan-Walsh} et al., Appl. Math. Modelling 31, No. 7, 1338--1350 (2007; Zbl 1388.76030) Full Text: DOI arXiv
Nijdam, Justin J.; Guo, Baoyu; Fletcher, David F.; Langrish, Tim A. G. Lagrangian and Eulerian models for simulating turbulent dispersion and coalescence of droplets within a spray. (English) Zbl 1375.76077 Appl. Math. Modelling 30, No. 11, 1196-1211 (2006). MSC: 76F99 76B15 PDFBibTeX XMLCite \textit{J. J. Nijdam} et al., Appl. Math. Modelling 30, No. 11, 1196--1211 (2006; Zbl 1375.76077) Full Text: DOI Link
Delis, A. I.; Katsaounis, Th. Numerical solution of the two-dimensional shallow water equations by the application of relaxation methods. (English) Zbl 1067.76586 Appl. Math. Modelling 29, No. 8, 754-783 (2005). MSC: 76M20 76B15 PDFBibTeX XMLCite \textit{A. I. Delis} and \textit{Th. Katsaounis}, Appl. Math. Modelling 29, No. 8, 754--783 (2005; Zbl 1067.76586) Full Text: DOI
Hall, Philip; Davies, Alan M. The influence of sampling frequency, nonlinear interaction, and frictional effects upon the accuracy of the harmonic analysis of tidal simulations. (English) Zbl 1130.76396 Appl. Math. Modelling 29, No. 6, 533-552 (2005). MSC: 76M25 76B15 86A05 PDFBibTeX XMLCite \textit{P. Hall} and \textit{A. M. Davies}, Appl. Math. Modelling 29, No. 6, 533--552 (2005; Zbl 1130.76396) Full Text: DOI
Liu, Shuxue; Teng, Bin; Yu, Yuxiu Wave generation in a computation domain. (English) Zbl 1147.35341 Appl. Math. Modelling 29, No. 1, 1-17 (2005). MSC: 35Q35 76B15 PDFBibTeX XMLCite \textit{S. Liu} et al., Appl. Math. Modelling 29, No. 1, 1--17 (2005; Zbl 1147.35341) Full Text: DOI
Litrico, Xavier; Fromion, Vincent Analytical approximation of open-channel flow for controller design. (English) Zbl 1147.76558 Appl. Math. Modelling 28, No. 7, 677-695 (2004). MSC: 76B15 76M25 PDFBibTeX XMLCite \textit{X. Litrico} and \textit{V. Fromion}, Appl. Math. Modelling 28, No. 7, 677--695 (2004; Zbl 1147.76558) Full Text: DOI
Buick, J. M.; Cosgrove, J. A.; Greated, C. A. Gravity-capillary internal wave simulation using a binary fluid lattice Boltzmann model. (English) Zbl 1205.76234 Appl. Math. Modelling 28, No. 2, 183-195 (2004). MSC: 76P05 76M28 82C40 PDFBibTeX XMLCite \textit{J. M. Buick} et al., Appl. Math. Modelling 28, No. 2, 183--195 (2004; Zbl 1205.76234) Full Text: DOI
Guo, D. C.; Gu, L.; Irons, G. A. Developments in modelling of gas injection and slag foaming. (English) Zbl 1215.76065 Appl. Math. Modelling 26, No. 2, 263-280 (2002). MSC: 76M99 80A30 76B15 PDFBibTeX XMLCite \textit{D. C. Guo} et al., Appl. Math. Modelling 26, No. 2, 263--280 (2002; Zbl 1215.76065) Full Text: DOI
Li, Y. S.; Liu, S.-X.; Yu, Y.-X.; Lai, G.-Z. Numerical modelling of multi-directional irregular waves through breakwaters. (English) Zbl 1076.76545 Appl. Math. Modelling 24, No. 8-9, 551-574 (2000). MSC: 76M10 76B15 86A05 PDFBibTeX XMLCite \textit{Y. S. Li} et al., Appl. Math. Modelling 24, No. 8--9, 551--574 (2000; Zbl 1076.76545) Full Text: DOI
Abou-Dina, M. S.; Helal, M. A. Boundary integral method applied to the transient, nonlinear wave propagation in a fluid with initial free surface elevation. (English) Zbl 0997.76055 Appl. Math. Modelling 24, No. 8-9, 535-549 (2000). MSC: 76M15 76B15 PDFBibTeX XMLCite \textit{M. S. Abou-Dina} and \textit{M. A. Helal}, Appl. Math. Modelling 24, No. 8--9, 535--549 (2000; Zbl 0997.76055) Full Text: DOI
Zoppou, C.; Roberts, S. Numerical solution of the two-dimensional unsteady dam break. (English) Zbl 1004.76064 Appl. Math. Modelling 24, No. 7, 457-475 (2000). MSC: 76M20 76B15 86A05 PDFBibTeX XMLCite \textit{C. Zoppou} and \textit{S. Roberts}, Appl. Math. Modelling 24, No. 7, 457--475 (2000; Zbl 1004.76064) Full Text: DOI
Burchard, Hans Recalculation of surface slopes as forcing for numerical water column models of tidal flow. (English) Zbl 0986.76056 Appl. Math. Modelling 23, No. 10, 737-755 (1999). MSC: 76M20 76B15 86A05 PDFBibTeX XMLCite \textit{H. Burchard}, Appl. Math. Modelling 23, No. 10, 737--755 (1999; Zbl 0986.76056) Full Text: DOI
Fortunato, A. B.; Oliveira, A. An adaptive grid technique for the vertical structure of shallow water models. (English) Zbl 0977.76524 Appl. Math. Modelling 23, No. 8, 639-650 (1999). MSC: 76M10 76B15 86A05 PDFBibTeX XMLCite \textit{A. B. Fortunato} and \textit{A. Oliveira}, Appl. Math. Modelling 23, No. 8, 639--650 (1999; Zbl 0977.76524) Full Text: DOI
Venutelli, Maurizio A third-order Taylor-Galerkin model for the simulation of two-dimensional unsteady free surface flows. (English) Zbl 1428.76107 Appl. Math. Modelling 22, No. 9, 641-656 (1998). MSC: 76M10 76B15 65N30 PDFBibTeX XMLCite \textit{M. Venutelli}, Appl. Math. Modelling 22, No. 9, 641--656 (1998; Zbl 1428.76107) Full Text: DOI
Demiray, Hilmi; Dost, Sadik Solitary waves in a thick walled elastic tube. (English) Zbl 1449.74087 Appl. Math. Modelling 22, No. 8, 583-599 (1998). MSC: 74F10 76Z05 76B99 76P05 76B15 74J35 PDFBibTeX XMLCite \textit{H. Demiray} and \textit{S. Dost}, Appl. Math. Modelling 22, No. 8, 583--599 (1998; Zbl 1449.74087) Full Text: DOI
Le Ngoc Ly; Luong, Phu A mathematical coastal ocean circulation system with breaking waves and numerical grid generation. (English) Zbl 0905.76095 Appl. Math. Modelling 21, No. 10, 633-641 (1997). MSC: 76U05 76B15 86A05 65M50 PDFBibTeX XMLCite \textit{Le Ngoc Ly} and \textit{P. Luong}, Appl. Math. Modelling 21, No. 10, 633--641 (1997; Zbl 0905.76095) Full Text: DOI
Ramos, J. I. One-dimensional models of steady, inviscid, annular liquid jets. (English) Zbl 0874.76008 Appl. Math. Modelling 20, No. 8, 593-607 (1996). Reviewer: P.Krapivsky (Boston) MSC: 76B10 PDFBibTeX XMLCite \textit{J. I. Ramos}, Appl. Math. Modelling 20, No. 8, 593--607 (1996; Zbl 0874.76008) Full Text: DOI
Zhu, Songping; Moule, Grant An efficient numerical calculation of wave loads on an array of vertical cylinders. (English) Zbl 0854.76014 Appl. Math. Modelling 20, No. 1, 26-33 (1996). MSC: 76B15 76M15 PDFBibTeX XMLCite \textit{S. Zhu} and \textit{G. Moule}, Appl. Math. Modelling 20, No. 1, 26--33 (1996; Zbl 0854.76014) Full Text: DOI
Shola, P. B.; Proudman, I. Free boundary fluid flow in a trough: A numerical approach. (English) Zbl 0885.76067 Appl. Math. Modelling 20, No. 12, 890-897 (1996). MSC: 76M20 76D05 76D45 PDFBibTeX XMLCite \textit{P. B. Shola} and \textit{I. Proudman}, Appl. Math. Modelling 20, No. 12, 890--897 (1996; Zbl 0885.76067) Full Text: DOI
Schuurmans, J.; Bosgra, O. H.; Brouwer, R. Open-channel flow model approximation for controller design. (English) Zbl 0835.76011 Appl. Math. Modelling 19, No. 9, 525-530 (1995). MSC: 76B15 93C20 PDFBibTeX XMLCite \textit{J. Schuurmans} et al., Appl. Math. Modelling 19, No. 9, 525--530 (1995; Zbl 0835.76011) Full Text: DOI
Hung, R. J.; Pan, H. L. Mathematical model of bubble sloshing dynamics for cryogenic liquid helium in orbital spacecraft Dewar container. (English) Zbl 0833.76086 Appl. Math. Modelling 19, No. 8, 483-498 (1995). MSC: 76U05 76D99 70M20 00A71 PDFBibTeX XMLCite \textit{R. J. Hung} and \textit{H. L. Pan}, Appl. Math. Modelling 19, No. 8, 483--498 (1995; Zbl 0833.76086) Full Text: DOI
Lardner, R. W. Optimal assimilation of current and surface elevation data in a two-dimensional numerical tidal model. (English) Zbl 0879.76010 Appl. Math. Modelling 19, No. 1, 30-38 (1995). Reviewer: K.Frischmuth (Rostock) MSC: 76B15 76M25 86A05 35R30 PDFBibTeX XMLCite \textit{R. W. Lardner}, Appl. Math. Modelling 19, No. 1, 30--38 (1995; Zbl 0879.76010) Full Text: DOI
Chiou, Jenq-Shing; Yang, Sheng-An; Chen, Cha’o-Kuang Laminar film condensation inside a horizontal elliptical tube. (English) Zbl 0807.76082 Appl. Math. Modelling 18, No. 6, 340-346 (1994). MSC: 76T99 80A20 76D45 PDFBibTeX XMLCite \textit{J.-S. Chiou} et al., Appl. Math. Modelling 18, No. 6, 340--346 (1994; Zbl 0807.76082) Full Text: DOI
Knock, C.; Ryrie, S. C. A varying time step finite-element method for the shallow water equations. (English) Zbl 0800.76238 Appl. Math. Modelling 18, No. 4, 224-230 (1994). MSC: 76M10 76B15 86A05 PDFBibTeX XMLCite \textit{C. Knock} and \textit{S. C. Ryrie}, Appl. Math. Modelling 18, No. 4, 224--230 (1994; Zbl 0800.76238) Full Text: DOI
Chen, M.; Rahman, M. Water wave diffraction analysis by boundary elements. (English) Zbl 0798.76045 Appl. Math. Modelling 18, No. 3, 114-123 (1994). MSC: 76M15 76B15 PDFBibTeX XMLCite \textit{M. Chen} and \textit{M. Rahman}, Appl. Math. Modelling 18, No. 3, 114--123 (1994; Zbl 0798.76045) Full Text: DOI
Rahman, M.; Bhatta, D. D. Evaluation of added mass and damping coefficient of an oscillating circular cylinder. (English) Zbl 0771.76011 Appl. Math. Modelling 17, No. 2, 70-79 (1993). MSC: 76B99 76B15 74F10 PDFBibTeX XMLCite \textit{M. Rahman} and \textit{D. D. Bhatta}, Appl. Math. Modelling 17, No. 2, 70--79 (1993; Zbl 0771.76011) Full Text: DOI
Hearn, C. J. Response of a uniform unbounded ocean to a moving tropical cyclone. (English) Zbl 0772.76014 Appl. Math. Modelling 17, No. 4, 205-212 (1993). MSC: 76B99 76B15 86A05 76U05 PDFBibTeX XMLCite \textit{C. J. Hearn}, Appl. Math. Modelling 17, No. 4, 205--212 (1993; Zbl 0772.76014) Full Text: DOI