Escalante, C.; Fernández-Nieto, E. D.; Garres-Díaz, J.; Mangeney, A. Multilayer shallow model for dry granular flows with a weakly non-hydrostatic pressure. (English) Zbl 07730751 J. Sci. Comput. 96, No. 3, Paper No. 88, 50 p. (2023). Reviewer: Piotr Biler (Wrocław) MSC: 76T25 35L60 76M12 PDFBibTeX XMLCite \textit{C. Escalante} et al., J. Sci. Comput. 96, No. 3, Paper No. 88, 50 p. (2023; Zbl 07730751) 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
Fernández, E. Guerrero; Díaz, M. J. Castro; Dumbser, M.; de Luna, T. Morales An arbitrary high order well-balanced ADER-DG numerical scheme for the multilayer shallow-water model with variable density. (English) Zbl 07454834 J. Sci. Comput. 90, No. 1, Paper No. 52, 38 p. (2022). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{E. G. Fernández} et al., J. Sci. Comput. 90, No. 1, Paper No. 52, 38 p. (2022; Zbl 07454834) Full Text: DOI
Schneider, Kleiton A.; Gallardo, José M.; Balsara, Dinshaw S.; Nkonga, Boniface; Parés, Carlos Multidimensional approximate Riemann solvers for hyperbolic nonconservative systems. Applications to shallow water systems. (English) Zbl 07515448 J. Comput. Phys. 444, Article ID 110547, 49 p. (2021). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{K. A. Schneider} et al., J. Comput. Phys. 444, Article ID 110547, 49 p. (2021; Zbl 07515448) Full Text: DOI
LeFloch, Philippe G.; Parés, Carlos; Pimentel-García, Ernesto A class of well-balanced algorithms for relativistic fluids on a Schwarzschild background. (English) Zbl 1500.65052 J. Sci. Comput. 89, No. 1, Paper No. 3, 43 p. (2021). MSC: 65M08 65M06 65N08 76Y05 76N10 83C57 35L60 35C06 35B40 76M12 35Q75 35Q35 PDFBibTeX XMLCite \textit{P. G. LeFloch} et al., J. Sci. Comput. 89, No. 1, Paper No. 3, 43 p. (2021; Zbl 1500.65052) Full Text: DOI arXiv
Garres-Díaz, J.; Fernández-Nieto, E. D.; Mangeney, A.; Morales de Luna, T. A weakly non-hydrostatic shallow model for dry granular flows. (English) Zbl 1468.35133 J. Sci. Comput. 86, No. 2, Paper No. 25, 35 p. (2021). MSC: 35Q35 35L60 76T25 35L65 76M12 35B40 PDFBibTeX XMLCite \textit{J. Garres-Díaz} et al., J. Sci. Comput. 86, No. 2, Paper No. 25, 35 p. (2021; Zbl 1468.35133) Full Text: DOI arXiv
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
Toro, E. F.; Saggiorato, B.; Tokareva, S.; Hidalgo, A. Low-dissipation centred schemes for hyperbolic equations in conservative and non-conservative form. (English) Zbl 1437.65119 J. Comput. Phys. 416, Article ID 109545, 33 p. (2020). MSC: 65M08 65M60 35L65 PDFBibTeX XMLCite \textit{E. F. Toro} et al., J. Comput. Phys. 416, Article ID 109545, 33 p. (2020; Zbl 1437.65119) Full Text: DOI Link
Díaz, Manuel Jesús Castro; Kurganov, Alexander; de Luna, Tomás Morales Path-conservative central-upwind schemes for nonconservative hyperbolic systems. (English) Zbl 1418.76034 ESAIM, Math. Model. Numer. Anal. 53, No. 3, 959-985 (2019). MSC: 76M12 65M08 35L65 35L67 86-08 PDFBibTeX XMLCite \textit{M. J. C. Díaz} et al., ESAIM, Math. Model. Numer. Anal. 53, No. 3, 959--985 (2019; Zbl 1418.76034) Full Text: DOI
Bürger, Raimund; Mulet, Pep; Rubio, Lihki Implicit-explicit methods for the efficient simulation of the settling of dispersions of droplets and colloidal particles. (English) Zbl 1488.65224 Adv. Appl. Math. Mech. 10, No. 2, 445-467 (2018). MSC: 65M06 35K59 35K57 35L65 76M20 76T20 76R50 65N08 65M20 PDFBibTeX XMLCite \textit{R. Bürger} et al., Adv. Appl. Math. Mech. 10, No. 2, 445--467 (2018; Zbl 1488.65224) Full Text: DOI
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
Morales de Luna, T.; Fernández Nieto, E. D.; Castro Díaz, M. J. Derivation of a multilayer approach to model suspended sediment transport: application to hyperpycnal and hypopycnal plumes. (English) Zbl 1488.76147 Commun. Comput. Phys. 22, No. 5, 1439-1485 (2017). MSC: 76T20 35L60 35L65 76B07 PDFBibTeX XMLCite \textit{T. Morales de Luna} et al., Commun. Comput. Phys. 22, No. 5, 1439--1485 (2017; Zbl 1488.76147) Full Text: DOI arXiv
Castro, Manuel J.; Gallardo, José M.; Marquina, Antonio Approximate Osher-Solomon schemes for hyperbolic systems. (English) Zbl 1410.76325 Appl. Math. Comput. 272, Part 2, 347-368 (2016). MSC: 76M25 65M25 76N15 76W05 PDFBibTeX XMLCite \textit{M. J. Castro} et al., Appl. Math. Comput. 272, Part 2, 347--368 (2016; Zbl 1410.76325) 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, Manuel J.; Gallardo, José M.; Marquina, Antonio A class of incomplete Riemann solvers based on uniform rational approximations to the absolute value function. (English) Zbl 1299.76181 J. Sci. Comput. 60, No. 2, 363-389 (2014). MSC: 76M25 76N15 76W05 35Q31 35L99 PDFBibTeX XMLCite \textit{M. J. Castro} et al., J. Sci. Comput. 60, No. 2, 363--389 (2014; Zbl 1299.76181) Full Text: DOI
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