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A New Class of Simple, General and Efficient Finite Volume Schemes for Overdetermined Thermodynamically Compatible Hyperbolic Systems
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Saray Busto, Michael Dumbser, Ilya Peshkov and Evgeniy Romenski SIAM Journal on Scientific Computing 44(3) A1723 (2022) https://doi.org/10.1137/21M1417508
Numerical Examples of Non-Dissipative Discontinuous Kinematic Waves in Open Channels
In-cell discontinuous reconstruction path-conservative methods for non conservative hyperbolic systems - Second-order extension
Ernesto Pimentel-García, Manuel J. Castro, Christophe Chalons, Tomás Morales de Luna and Carlos Parés Journal of Computational Physics 459 111152 (2022) https://doi.org/10.1016/j.jcp.2022.111152
A New Family of Thermodynamically Compatible Discontinuous Galerkin Methods for Continuum Mechanics and Turbulent Shallow Water Flows
A conservative and consistent scalar filtered mass density function method for supersonic flows
Lin Zhang, Jianhan Liang, Mingbo Sun, Yue Yang, Hailong Zhang and Xiaodong Cai Physics of Fluids 33(2) (2021) https://doi.org/10.1063/5.0036022
NUMERICAL SIMULATIONS FOR NON CONSERVATIVE HYPERBOLIC SYSTEM. APPLICATION TO TRANSIENT TWO-PHASE FLOW WITH CAVITATION PHENOMENON
Abdelmjid Qadi El Idrissi, Boujemâa Achchab and Abdellatif Agouzal Mathematical Modelling and Analysis 24(2) 218 (2019) https://doi.org/10.3846/mma.2019.015
On entropy stable schemes for degenerate parabolic multispecies kinematic flow models
Raimund Bürger, Paul E. Méndez and Carlos Parés Numerical Methods for Partial Differential Equations 35(5) 1847 (2019) https://doi.org/10.1002/num.22381
Entropy-stable space–time DG schemes for non-conservative hyperbolic systems
Andreas Hiltebrand, Siddhartha Mishra and Carlos Parés ESAIM: Mathematical Modelling and Numerical Analysis 52(3) 995 (2018) https://doi.org/10.1051/m2an/2017056
Entropy Stable Schemes for Degenerate Convection-Diffusion Equations
Schemes with Well-Controlled Dissipation. Hyperbolic Systems in Nonconservative Form
Abdelaziz Beljadid, Philippe G. LeFloch, Siddhartha Mishra and Carlos Parés Communications in Computational Physics 21(4) 913 (2017) https://doi.org/10.4208/cicp.OA-2016-0019
A new comment on the computation of non-conservative products using Roe-type path conservative schemes