Jung, Jaeyoung; Hwang, Jin Hwan Path-conservative positivity-preserving well-balanced finite volume WENO method for porous shallow water equations. (English) Zbl 07715250 J. Comput. Phys. 490, Article ID 112321, 33 p. (2023). MSC: 76Mxx 76Bxx 65Mxx PDFBibTeX XMLCite \textit{J. Jung} and \textit{J. H. Hwang}, J. Comput. Phys. 490, Article ID 112321, 33 p. (2023; Zbl 07715250) Full Text: DOI
Pimentel-García, Ernesto; Müller, Lucas O.; Toro, Eleuterio F.; Parés, Carlos High-order fully well-balanced numerical methods for one-dimensional blood flow with discontinuous properties. (English) Zbl 07649287 J. Comput. Phys. 475, Article ID 111869, 37 p. (2023). MSC: 65Mxx 35Lxx 76Mxx PDFBibTeX XMLCite \textit{E. Pimentel-García} et al., J. Comput. Phys. 475, Article ID 111869, 37 p. (2023; Zbl 07649287) Full Text: DOI
Chiapolino, Alexandre; Fraysse, François; Saurel, Richard Fast 3D computations of compressible flow discharge in buildings and complex networks. (English) Zbl 07640564 J. Comput. Phys. 474, Article ID 111807, 42 p. (2023). MSC: 35Lxx 76Mxx 76Lxx PDFBibTeX XMLCite \textit{A. Chiapolino} et al., J. Comput. Phys. 474, Article ID 111807, 42 p. (2023; Zbl 07640564) Full Text: DOI
Liu, Mengqing; Feng, Xueshang; Wang, Xinyi Implementation of the HLL-GRP solver for multidimensional ideal MHD simulations based on finite volume method. (English) Zbl 07625380 J. Comput. Phys. 473, Article ID 111687, 29 p. (2023). MSC: 76Mxx 65Mxx 76Wxx PDFBibTeX XMLCite \textit{M. Liu} et al., J. Comput. Phys. 473, Article ID 111687, 29 p. (2023; Zbl 07625380) Full Text: DOI
Chen, Guoxian; Noelle, Sebastian A unified surface-gradient and hydrostatic reconstruction scheme for the shallow water equations. (English) Zbl 07568559 J. Comput. Phys. 467, Article ID 111463, 16 p. (2022). MSC: 76Mxx 65Mxx 35Lxx PDFBibTeX XMLCite \textit{G. Chen} and \textit{S. Noelle}, J. Comput. Phys. 467, Article ID 111463, 16 p. (2022; Zbl 07568559) Full Text: DOI
Babbar, Arpit; Kumar Kenettinkara, Sudarshan; Chandrashekar, Praveen Lax-Wendroff flux reconstruction method for hyperbolic conservation laws. (English) Zbl 07568535 J. Comput. Phys. 467, Article ID 111423, 49 p. (2022). MSC: 65Mxx 35Lxx 76Mxx PDFBibTeX XMLCite \textit{A. Babbar} et al., J. Comput. Phys. 467, Article ID 111423, 49 p. (2022; Zbl 07568535) Full Text: DOI arXiv
Aleksyuk, Andrey I.; Malakhov, Maxim A.; Belikov, Vitaly V. The exact Riemann solver for the shallow water equations with a discontinuous bottom. (English) Zbl 07517100 J. Comput. Phys. 450, Article ID 110801, 14 p. (2022). MSC: 76Bxx 76Mxx 65Mxx PDFBibTeX XMLCite \textit{A. I. Aleksyuk} et al., J. Comput. Phys. 450, Article ID 110801, 14 p. (2022; Zbl 07517100) Full Text: DOI
Zhang, Qinglong; Sheng, Wancheng A random choice method based on the generalized Riemann problem for the Euler equations in gas dynamics. (English) Zbl 07513818 J. Comput. Phys. 441, Article ID 110431, 14 p. (2021). MSC: 76Mxx 65Mxx 76Nxx PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{W. Sheng}, J. Comput. Phys. 441, Article ID 110431, 14 p. (2021; Zbl 07513818) Full Text: DOI
Lei, Xin; Li, Jiequan A staggered-projection Godunov-type method for the Baer-Nunziato two-phase model. (English) Zbl 07505905 J. Comput. Phys. 437, Article ID 110312, 39 p. (2021). MSC: 76Mxx 65Mxx 35Lxx PDFBibTeX XMLCite \textit{X. Lei} and \textit{J. Li}, J. Comput. Phys. 437, Article ID 110312, 39 p. (2021; Zbl 07505905) Full Text: DOI arXiv
Aleksyuk, Andrey I.; Belikov, Vitaly V. The uniqueness of the exact solution of the Riemann problem for the shallow water equations with discontinuous bottom. (English) Zbl 1452.76028 J. Comput. Phys. 390, 232-248 (2019). MSC: 76B03 35R05 PDFBibTeX XMLCite \textit{A. I. Aleksyuk} and \textit{V. V. Belikov}, J. Comput. Phys. 390, 232--248 (2019; Zbl 1452.76028) Full Text: DOI
Schmidmayer, Kevin; Petitpas, Fabien; Daniel, Eric Adaptive mesh refinement algorithm based on dual trees for cells and faces for multiphase compressible flows. (English) Zbl 1452.76132 J. Comput. Phys. 388, 252-278 (2019). MSC: 76M12 65M08 76T10 65Y05 65M50 76N15 PDFBibTeX XMLCite \textit{K. Schmidmayer} et al., J. Comput. Phys. 388, 252--278 (2019; Zbl 1452.76132) Full Text: DOI Link
Balsara, Dinshaw S.; Li, Jiequan; Montecinos, Gino I. An efficient, second order accurate, universal generalized Riemann problem solver based on the HLLI Riemann solver. (English) Zbl 1416.76200 J. Comput. Phys. 375, 1238-1269 (2018). MSC: 76M25 65M08 35L65 35L40 35Q31 76N15 PDFBibTeX XMLCite \textit{D. S. Balsara} et al., J. Comput. Phys. 375, 1238--1269 (2018; Zbl 1416.76200) Full Text: DOI arXiv
Du, Zhifang; Li, Jiequan A Hermite WENO reconstruction for fourth order temporal accurate schemes based on the GRP solver for hyperbolic conservation laws. (English) Zbl 1380.65195 J. Comput. Phys. 355, 385-396 (2018). MSC: 65M08 35L65 76M12 PDFBibTeX XMLCite \textit{Z. Du} and \textit{J. Li}, J. Comput. Phys. 355, 385--396 (2018; Zbl 1380.65195) Full Text: DOI arXiv
Wu, Kailiang; Tang, Huazhong; Xiu, Dongbin A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty. (English) Zbl 1380.65315 J. Comput. Phys. 345, 224-244 (2017). MSC: 65M75 65M60 35L40 PDFBibTeX XMLCite \textit{K. Wu} et al., J. Comput. Phys. 345, 224--244 (2017; Zbl 1380.65315) Full Text: DOI arXiv
Ghigo, A. R.; Delestre, O.; Fullana, J.-M.; Lagrée, P.-Y. Low-Shapiro hydrostatic reconstruction technique for blood flow simulation in large arteries with varying geometrical and mechanical properties. (English) Zbl 1378.76151 J. Comput. Phys. 331, 108-136 (2017). MSC: 76Z05 92C35 76M12 PDFBibTeX XMLCite \textit{A. R. Ghigo} et al., J. Comput. Phys. 331, 108--136 (2017; Zbl 1378.76151) Full Text: DOI arXiv
Pan, Liang; Xu, Kun; Li, Qibing; Li, Jiequan An efficient and accurate two-stage fourth-order gas-kinetic scheme for the Euler and Navier-Stokes equations. (English) Zbl 1373.76032 J. Comput. Phys. 326, 197-221 (2016). MSC: 76D05 76M28 PDFBibTeX XMLCite \textit{L. Pan} et al., J. Comput. Phys. 326, 197--221 (2016; Zbl 1373.76032) Full Text: DOI arXiv
Pathak, Harshavardhana S.; Shukla, Ratnesh K. Adaptive finite-volume WENO schemes on dynamically redistributed grids for compressible Euler equations. (English) Zbl 1349.76375 J. Comput. Phys. 319, 200-230 (2016). MSC: 76M12 65M08 65M50 76Nxx PDFBibTeX XMLCite \textit{H. S. Pathak} and \textit{R. K. Shukla}, J. Comput. Phys. 319, 200--230 (2016; Zbl 1349.76375) Full Text: DOI
Müller, Lucas O.; Blanco, Pablo J. A high order approximation of hyperbolic conservation laws in networks: application to one-dimensional blood flow. (English) Zbl 1349.76945 J. Comput. Phys. 300, 423-437 (2015). MSC: 76Z05 76M12 92-08 92C35 PDFBibTeX XMLCite \textit{L. O. Müller} and \textit{P. J. Blanco}, J. Comput. Phys. 300, 423--437 (2015; Zbl 1349.76945) Full Text: DOI
Wu, Kailiang; Tang, Huazhong High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics. (English) Zbl 1349.76550 J. Comput. Phys. 298, 539-564 (2015). MSC: 76M20 65M06 76L05 76V05 76Y05 80A32 PDFBibTeX XMLCite \textit{K. Wu} and \textit{H. Tang}, J. Comput. Phys. 298, 539--564 (2015; Zbl 1349.76550) Full Text: DOI arXiv
Wang, Yue; Wang, Shuanghu Arbitrary high order discontinuous Galerkin schemes based on the GRP method for compressible Euler equations. (English) Zbl 1349.76283 J. Comput. Phys. 298, 113-124 (2015). MSC: 76M10 65M60 76N99 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{S. Wang}, J. Comput. Phys. 298, 113--124 (2015; Zbl 1349.76283) Full Text: DOI
Wu, Kailiang; Yang, Zhicheng; Tang, Huazhong A third-order accurate direct Eulerian GRP scheme for the Euler equations in gas dynamics. (English) Zbl 1349.76551 J. Comput. Phys. 264, 177-208 (2014). MSC: 76M20 65M06 76N15 82C40 82C80 PDFBibTeX XMLCite \textit{K. Wu} et al., J. Comput. Phys. 264, 177--208 (2014; Zbl 1349.76551) Full Text: DOI
Li, Jiequan; Zhang, Yongjin The adaptive GRP scheme for compressible fluid flows over unstructured meshes. (English) Zbl 1311.76091 J. Comput. Phys. 242, 367-386 (2013). MSC: 76M20 76N99 65M06 PDFBibTeX XMLCite \textit{J. Li} and \textit{Y. Zhang}, J. Comput. Phys. 242, 367--386 (2013; Zbl 1311.76091) Full Text: DOI
Yang, Zhicheng; Tang, Huazhong A direct Eulerian GRP scheme for relativistic hydrodynamics: two-dimensional case. (English) Zbl 1408.76598 J. Comput. Phys. 231, No. 4, 2116-2139 (2012). MSC: 76Y05 PDFBibTeX XMLCite \textit{Z. Yang} and \textit{H. Tang}, J. Comput. Phys. 231, No. 4, 2116--2139 (2012; Zbl 1408.76598) Full Text: DOI
Yang, Zhicheng; He, Peng; Tang, Huazhong A direct Eulerian GRP scheme for relativistic hydrodynamics: One-dimensional case. (English) Zbl 1408.76597 J. Comput. Phys. 230, No. 22, 7964-7987 (2011). MSC: 76Y05 PDFBibTeX XMLCite \textit{Z. Yang} et al., J. Comput. Phys. 230, No. 22, 7964--7987 (2011; Zbl 1408.76597) Full Text: DOI
Li, Jiequan; Li, Qibing; Xu, Kun Comparison of the generalized Riemann solver and the gas-kinetic scheme for inviscid compressible flow simulations. (English) Zbl 1416.76250 J. Comput. Phys. 230, No. 12, 5080-5099 (2011). MSC: 76M35 76N15 65M25 65M75 PDFBibTeX XMLCite \textit{J. Li} et al., J. Comput. Phys. 230, No. 12, 5080--5099 (2011; Zbl 1416.76250) Full Text: DOI
Smith, Matthew R.; Lin, K.-M.; Hung, C.-T.; Chen, Y.-S.; Wu, J.-S. Development of an improved spatial reconstruction technique for the HLL method and its applications. (English) Zbl 1283.76043 J. Comput. Phys. 230, No. 3, 477-493 (2011). MSC: 76M12 65M08 PDFBibTeX XMLCite \textit{M. R. Smith} et al., J. Comput. Phys. 230, No. 3, 477--493 (2011; Zbl 1283.76043) Full Text: DOI