Garres-Díaz, J.; Escalante, C.; Morales de Luna, T.; Castro Díaz, M. J. A general vertical decomposition of Euler equations: multilayer-moment models. (English) Zbl 1504.35252 Appl. Numer. Math. 183, 236-262 (2023). MSC: 35Q31 76B15 76B07 35R35 65M08 65M60 65M06 65N08 65N30 76M10 76M20 76M12 PDFBibTeX XMLCite \textit{J. Garres-Díaz} et al., Appl. Numer. Math. 183, 236--262 (2023; Zbl 1504.35252) Full Text: DOI
Koellermeier, Julian; Pimentel-García, Ernesto Steady states and well-balanced schemes for shallow water moment equations with topography. (English) Zbl 1510.35210 Appl. Math. Comput. 427, Article ID 127166, 28 p. (2022). MSC: 35Q30 76B15 PDFBibTeX XMLCite \textit{J. Koellermeier} and \textit{E. Pimentel-García}, Appl. Math. Comput. 427, Article ID 127166, 28 p. (2022; Zbl 1510.35210) Full Text: DOI arXiv
Sánchez, Cipriano Escalante; Fernández-Nieto, Enrique D.; Morales de Luna, Tomás; Penel, Yohan; Sainte-Marie, Jacques Numerical simulations of a dispersive model approximating free-surface Euler equations. (English) Zbl 1502.65140 J. Sci. Comput. 89, No. 3, Paper No. 55, 35 p. (2021). MSC: 65M60 76B15 76B70 86A05 76M10 35Q31 35R35 PDFBibTeX XMLCite \textit{C. E. Sánchez} et al., J. Sci. Comput. 89, No. 3, Paper No. 55, 35 p. (2021; Zbl 1502.65140) Full Text: DOI
Escalante, C.; Castro, M. J.; Semplice, M. Very high order well-balanced schemes for non-prismatic one-dimensional channels with arbitrary shape. (English) Zbl 1508.76017 Appl. Math. Comput. 398, Article ID 125993, 17 p. (2021). MSC: 76B15 35Q35 76M12 65M08 PDFBibTeX XMLCite \textit{C. Escalante} et al., Appl. Math. Comput. 398, Article ID 125993, 17 p. (2021; Zbl 1508.76017) Full Text: DOI
Pimentel-García, Ernesto; Parés, Carlos; Castro, Manuel J.; Koellermeier, Julian On the efficient implementation of PVM methods and simple Riemann solvers. Application to the Roe method for large hyperbolic systems. (English) Zbl 1508.76075 Appl. Math. Comput. 388, Article ID 125544, 20 p. (2021). MSC: 76M12 65M08 76L05 35Q20 PDFBibTeX XMLCite \textit{E. Pimentel-García} et al., Appl. Math. Comput. 388, Article ID 125544, 20 p. (2021; Zbl 1508.76075) Full Text: DOI Link
Uilhoorn, F. E. Numerical issues in gas flow dynamics with hydraulic shocks using high order finite volume WENO schemes. (English) Zbl 1453.76112 J. Comput. Phys. 404, Article ID 109137, 26 p. (2020). MSC: 76M12 65M08 76N15 76L05 PDFBibTeX XMLCite \textit{F. E. Uilhoorn}, J. Comput. Phys. 404, Article ID 109137, 26 p. (2020; Zbl 1453.76112) Full Text: DOI
Escalante, C.; Morales de Luna, Tomás A general non-hydrostatic hyperbolic formulation for Boussinesq dispersive shallow flows and its numerical approximation. (English) Zbl 1435.76015 J. Sci. Comput. 83, No. 3, Paper No. 62, 37 p. (2020). Reviewer: Zhihua Zhang (Beijing) MSC: 76B15 76M12 PDFBibTeX XMLCite \textit{C. Escalante} and \textit{T. Morales de Luna}, J. Sci. Comput. 83, No. 3, Paper No. 62, 37 p. (2020; Zbl 1435.76015) Full Text: DOI HAL
Castro, Manuel J.; Parés, Carlos Well-balanced high-order finite volume methods for systems of balance laws. (English) Zbl 1440.65109 J. Sci. Comput. 82, No. 2, Paper No. 48, 48 p. (2020). MSC: 65M08 76M12 76N06 76B15 35Q31 35D30 PDFBibTeX XMLCite \textit{M. J. Castro} and \textit{C. Parés}, J. Sci. Comput. 82, No. 2, Paper No. 48, 48 p. (2020; Zbl 1440.65109) Full Text: DOI
Escalante, C.; Dumbser, M.; Castro, M. J. An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes. (English) Zbl 1452.65188 J. Comput. Phys. 394, 385-416 (2019). MSC: 65M08 65M60 65Y05 35L40 76M12 65Z05 PDFBibTeX XMLCite \textit{C. Escalante} et al., J. Comput. Phys. 394, 385--416 (2019; Zbl 1452.65188) Full Text: DOI
Escalante, C.; Fernández-Nieto, E. D.; Morales de Luna, T.; Castro, M. J. An efficient two-layer non-hydrostatic approach for dispersive water waves. (English) Zbl 1444.76032 J. Sci. Comput. 79, No. 1, 273-320 (2019). MSC: 76B15 86A05 76M12 76M20 35Q31 PDFBibTeX XMLCite \textit{C. Escalante} et al., J. Sci. Comput. 79, No. 1, 273--320 (2019; Zbl 1444.76032) Full Text: DOI Link
Escalante, C.; Morales de Luna, T.; Castro, M. J. Non-hydrostatic pressure shallow flows: GPU implementation using finite volume and finite difference scheme. (English) Zbl 1427.76160 Appl. Math. Comput. 338, 631-659 (2018). MSC: 76M12 76B15 76M20 65M06 65M08 76D05 PDFBibTeX XMLCite \textit{C. Escalante} et al., Appl. Math. Comput. 338, 631--659 (2018; Zbl 1427.76160) Full Text: DOI arXiv
De Lorenzo, M.; Pelanti, M.; Lafon, Ph. HLLC-type and path-conservative schemes for a single-velocity six-equation two-phase flow model: a comparative study. (English) Zbl 1427.76159 Appl. Math. Comput. 333, 95-117 (2018). MSC: 76M12 65M08 76L05 76Txx PDFBibTeX XMLCite \textit{M. De Lorenzo} et al., Appl. Math. Comput. 333, 95--117 (2018; Zbl 1427.76159) Full Text: DOI
Kurganov, Alexander Finite-volume schemes for shallow-water equations. (English) Zbl 1430.76372 Acta Numerica 27, 289-351 (2018). MSC: 76M12 65M08 35L65 76B15 76-02 PDFBibTeX XMLCite \textit{A. Kurganov}, Acta Numerica 27, 289--351 (2018; Zbl 1430.76372) Full Text: DOI
Castro, M. J.; Escalante, C.; Morales de Luna, T. Modelling and simulation of non-hydrostatic shallow flows. (English) Zbl 1367.65150 Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – hyperbolic, elliptic and parabolic problems. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer (ISBN 978-3-319-57393-9/hbk; 978-3-319-57394-6/ebook; 978-3-319-58818-6/set). Springer Proceedings in Mathematics & Statistics 200, 119-126 (2017). MSC: 65N08 65N06 35Q35 76M12 76M20 76B15 PDFBibTeX XMLCite \textit{M. J. Castro} et al., Springer Proc. Math. Stat. 200, 119--126 (2017; Zbl 1367.65150) Full Text: DOI
Dumbser, Michael; Balsara, Dinshaw S. A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems. (English) Zbl 1349.76603 J. Comput. Phys. 304, 275-319 (2016). MSC: 76M25 65M25 76Dxx 76Txx 76W05 PDFBibTeX XMLCite \textit{M. Dumbser} and \textit{D. S. Balsara}, J. Comput. Phys. 304, 275--319 (2016; Zbl 1349.76603) Full Text: DOI
Castro Díaz, M. J.; Fernández-Nieto, E. D.; Narbona-Reina, G.; de la Asunción, M. A second order PVM flux limiter method. Application to magnetohydrodynamics and shallow stratified flows. (English) Zbl 1349.76314 J. Comput. Phys. 262, 172-193 (2014). MSC: 76M12 65M08 76B15 76W05 PDFBibTeX XMLCite \textit{M. J. Castro Díaz} et al., J. Comput. Phys. 262, 172--193 (2014; Zbl 1349.76314) Full Text: DOI Link
Morales de Luna, Tomás; Castro Díaz, Manuel J.; Parés, Carlos Relation between PVM schemes and simple Riemann solvers. (English) Zbl 1297.65102 Numer. Methods Partial Differ. Equations 30, No. 4, 1315-1341 (2014). Reviewer: Qin Meng Zhao (Beijing) MSC: 65M08 35L65 76L05 35L67 76B15 76M12 PDFBibTeX XMLCite \textit{T. Morales de Luna} et al., Numer. Methods Partial Differ. Equations 30, No. 4, 1315--1341 (2014; Zbl 1297.65102) Full Text: DOI
Castro Díaz, M. J.; Fernández-Nieto, E. A class of computationally fast first order finite volume solvers: PVM methods. (English) Zbl 1253.65167 SIAM J. Sci. Comput. 34, No. 4, A2173-A2196 (2012). MSC: 65N06 76B15 76M20 76N99 PDFBibTeX XMLCite \textit{M. J. Castro Díaz} and \textit{E. Fernández-Nieto}, SIAM J. Sci. Comput. 34, No. 4, A2173--A2196 (2012; Zbl 1253.65167) Full Text: DOI Link
Luo, Jun; Rajasekaran, Sanguthevar Parallizing 1-dimensional estuarine model. (English) Zbl 1077.76547 Int. J. Found. Comput. Sci. 15, No. 6, 809-821 (2004). MSC: 76M25 86-08 76B15 65Y05 PDFBibTeX XMLCite \textit{J. Luo} and \textit{S. Rajasekaran}, Int. J. Found. Comput. Sci. 15, No. 6, 809--821 (2004; Zbl 1077.76547) Full Text: DOI
Marano, Stefano; Medugno, Mario; Longo, Maurizio A real-time parallel application: The detection of gravitational waves by a network of heterogeneous workstations. (English) Zbl 0897.68130 J. Comput. Phys. 139, No. 1, 15-34 (1998). MSC: 68U99 76B15 PDFBibTeX XMLCite \textit{S. Marano} et al., J. Comput. Phys. 139, No. 1, 15--34 (1998; Zbl 0897.68130) Full Text: DOI