IMEX large time step finite volume methods for low Froude number shallow water flows
G Bispen, KR Arun… - Communications in …, 2014 - cambridge.org
We present new large time step methods for the shallow water flows in the low Froude
number limit. In order to take into account multiscale phenomena that typically appear in …
number limit. In order to take into account multiscale phenomena that typically appear in …
Flux splitting for stiff equations: A notion on stability
For low Mach number flows, there is a strong recent interest in the development and
analysis of IMEX (implicit/explicit) schemes, which rely on a splitting of the convective flux …
analysis of IMEX (implicit/explicit) schemes, which rely on a splitting of the convective flux …
Asymptotic analysis of the RS-IMEX scheme for the shallow water equations in one space dimension
H Zakerzadeh - ESAIM: Mathematical Modelling and Numerical …, 2019 - esaim-m2an.org
We introduce and analyse the so-called Reference Solution IMplicit-EXplicit scheme as a
flux-splitting method for singularly-perturbed systems of balance laws. RS-IMEX scheme's …
flux-splitting method for singularly-perturbed systems of balance laws. RS-IMEX scheme's …
An asymptotic preserving method for linear systems of balance laws based on Galerkin's method
J Schütz - Journal of Scientific Computing, 2014 - Springer
We apply the concept of asymptotic preserving schemes (SIAM J Sci Comput 21: 441–454,
1999) to the linearized p p-system and discretize the resulting elliptic equation using …
1999) to the linearized p p-system and discretize the resulting elliptic equation using …
Asymptotic preserving finite volume schemes for the singularly-perturbed shallow water equations with source terms
H Zakerzadeh - 2017 - hal.science
The shallow water equations are of quite an importance for modelling oceanic flows as a
simple approximation of the water wave equations, which describe the gravity-driven free …
simple approximation of the water wave equations, which describe the gravity-driven free …
[BOOK][B] A Demonstration of the Advantage of Asymptotic Preserving Schemes over Standard Finite Volume Schemes
J Schütz - 2013 - igpm.rwth-aachen.de
We apply the concept of Asymptotic Preserving (AP) schemes [17] to the linearized p−
system and discretize the resulting elliptic equation using standard continuous Finite …
system and discretize the resulting elliptic equation using standard continuous Finite …
[BOOK][B] Flux splitting: A notion on stability
In the context of low Mach number flows, successful methods are Asymptotic Preserving and
IMEX schemes. Both schemes for hyperbolic equations rely on a splitting of the convective …
IMEX schemes. Both schemes for hyperbolic equations rely on a splitting of the convective …