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math.NA2026
Asymptotic-Preserving and Well-Balanced Linearly Implicit IMEX Schemes for the Anelastic Limit of the Isentropic Euler Equations with Gravity
Marco Artiano, Hendrik Ranocha, Saurav Samantaray
We consider the compressible Euler system with anelastic scaling, modeling isentropic flows under the influence of gravity. In the zero-Mach-number limit, the solution of the compr…
math.NA2024
Asymptotic Preserving Linearly Implicit Additive IMEX-RK Finite Volume Schemes for Low Mach Number Isentropic Euler Equations
Saurav Samantaray
We consider the compressible Euler equations of gas dynamics with isentropic equation of state. Standard numerical schemes for the Euler equations suffer from stability and accurac…
math.NA2024
High order Asymptotic Preserving penalized numerical schemes for the Euler-Poisson system in the quasi-neutral limit
Nicolas Crouseilles, Giacomo Dimarco, Saurav Samantaray
In this work, we focus on the development of high-order Implicit-Explicit (IMEX) finite volume numerical methods for plasmas in quasineutral regimes. At large temporal and spatial…