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Higher-order implicit shock-capturing scheme based on linearization of implicit fluxes for the Euler equations
Roshith Mittakolu, Sarma L. Rani and Dilip Srinivas Sundaram International Journal of Numerical Methods for Heat & Fluid Flow 33(5) 1900 (2023) https://doi.org/10.1108/HFF-07-2022-0399
Preconditioned boundary-implicit subiterative DDADI method for accuracy and efficiency enhancement in low-Mach number flows
Compressible solver for two-phase flows with sharp interface and capillary effects preserving accuracy in the low Mach regime
Ziqiang Zou, Nicolas Grenier, Samuel Kokh, Christian Tenaud and Edouard Audit Journal of Computational Physics 448 110735 (2022) https://doi.org/10.1016/j.jcp.2021.110735
Entropy-stable schemes in the low-Mach-number regime: Flux-preconditioning, entropy breakdowns, and entropy transfers
High Order Semi-implicit WENO Schemes for All-Mach Full Euler System of Gas Dynamics
Sebastiano Boscarino, Jingmei Qiu, Giovanni Russo and Tao Xiong SIAM Journal on Scientific Computing 44(2) B368 (2022) https://doi.org/10.1137/21M1424433
Truly multi-dimensional all-speed schemes for the Euler equations on Cartesian grids
Recent Advances in Numerical Methods for Hyperbolic PDE Systems
Jonas P. Berberich and Christian Klingenberg SEMA SIMAI Springer Series, Recent Advances in Numerical Methods for Hyperbolic PDE Systems 28 177 (2021) https://doi.org/10.1007/978-3-030-72850-2_8
Multidimensional low-Mach number time-implicit hydrodynamic simulations of convective helium shell burning in a massive star
MAESTROeX: A Massively Parallel Low Mach Number Astrophysical Solver
Duoming Fan, Andrew Nonaka, Ann S. Almgren, Alice Harpole and Michael Zingale The Astrophysical Journal 887(2) 212 (2019) https://doi.org/10.3847/1538-4357/ab4f75
WENO–WOMBAT: Scalable Fifth-order Constrained-transport Magnetohydrodynamics for Astrophysical Applications
A High-performance and Portable All-Mach Regime Flow Solver Code with Well-balanced Gravity. Application to Compressible Convection
Thomas Padioleau, Pascal Tremblin, Edouard Audit, Pierre Kestener and Samuel Kokh The Astrophysical Journal 875(2) 128 (2019) https://doi.org/10.3847/1538-4357/ab0f2c
Linearly implicit all Mach number shock capturing schemes for the Euler equations
Theory, Numerics and Applications of Hyperbolic Problems II
Friedrich K. Röpke Springer Proceedings in Mathematics & Statistics, Theory, Numerics and Applications of Hyperbolic Problems II 237 535 (2018) https://doi.org/10.1007/978-3-319-91548-7_40
Handbook of Numerical Methods for Hyperbolic Problems - Applied and Modern Issues
J. Hu, S. Jin and Q. Li Handbook of Numerical Analysis, Handbook of Numerical Methods for Hyperbolic Problems - Applied and Modern Issues 18 103 (2017) https://doi.org/10.1016/bs.hna.2016.09.001
Benchmarking the Multidimensional Stellar Implicit Code MUSIC
A Numerical Scheme for the Compressible Low-Mach Number Regime of Ideal Fluid Dynamics
Wasilij Barsukow, Philipp V. F. Edelmann, Christian Klingenberg, Fabian Miczek and Friedrich K. Röpke Journal of Scientific Computing 72(2) 623 (2017) https://doi.org/10.1007/s10915-017-0372-4