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Mitigating numerical dissipation in simulations of subsonic turbulent flows
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Spectral difference method with a posteriori limiting: II – Application to low Mach number flows
David A Velasco-Romero and Romain Teyssier Monthly Notices of the Royal Astronomical Society 537(3) 2387 (2025) https://doi.org/10.1093/mnras/staf133
An implicit-explicit solver for a two-fluid single-temperature model
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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
Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws
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
Entropy-stable schemes in the low-Mach-number regime: Flux-preconditioning, entropy breakdowns, and entropy transfers
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
High order well-balanced asymptotic preserving finite difference WENO schemes for the shallow water equations in all Froude numbers
Recent Advances in Numerical Methods for Hyperbolic PDE Systems
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Truly multi-dimensional all-speed schemes for the Euler equations on Cartesian grids
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
A high order semi-implicit IMEX WENO scheme for the all-Mach isentropic Euler system
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
An efficient algorithm for the multicomponent compressible Navier–Stokes equations in low- and high-Mach number regimes
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
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
Handbook of Numerical Methods for Hyperbolic Problems - Applied and Modern Issues
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Testing a one-dimensional prescription of dynamical shear mixing with a two-dimensional hydrodynamic simulation
Handbook of Numerical Methods for Hyperbolic Problems - Applied and Modern Issues
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An all-speed relaxation scheme for gases and compressible materials