All Mach number second order semi-implicit scheme for the Euler equations of gas dynamics
This paper presents an asymptotic preserving (AP) all Mach number finite volume shock
capturing method for the numerical solution of compressible Euler equations of gas …
capturing method for the numerical solution of compressible Euler equations of gas …
Linearly implicit all Mach number shock capturing schemes for the Euler equations
We propose a family of simple second order accurate schemes for the numerical solution of
Euler equation of gas dynamics that are (linearly) implicit in the acoustic waves, eliminating …
Euler equation of gas dynamics that are (linearly) implicit in the acoustic waves, eliminating …
Multidimensional fully adaptive lattice Boltzmann methods with error control based on multiresolution analysis
Lattice-Boltzmann methods are known for their simplicity, efficiency and ease of
parallelization, usually relying on uniform Cartesian meshes with a strong bond between …
parallelization, usually relying on uniform Cartesian meshes with a strong bond between …
Multiresolution-based mesh adaptation and error control for lattice boltzmann methods with applications to hyperbolic conservation laws
Lattice Boltzmann methods (LBM) stand out for their simplicity and computational efficiency
while offering the possibility of simulating complex phenomena. While they are optimal for …
while offering the possibility of simulating complex phenomena. While they are optimal for …
Parallelisation of multiscale-based grid adaptation using space-filling curves
K Brix, SS Melian, S Müller, G Schieffer - ESAIM: proceedings, 2009 - esaim-proc.org
The concept of fully adaptive multiscale finite volume schemes has been developed and
investigated during the past decade. By now it has been successfully employed in numerous …
investigated during the past decade. By now it has been successfully employed in numerous …
Adaptive implicit finite difference method for natural gas pipeline transient flow
The implicit finite difference method is one of the most widely applied methods for transient
natural gas simulation. However, this implicit method is associated with high computational …
natural gas simulation. However, this implicit method is associated with high computational …
Local time step** applied to implicit-explicit methods for hyperbolic systems
In the context of systems of nonlinear conservation laws it can be crucial to use adaptive
grids in order to correctly simulate the singularities of the solution over long time ranges …
grids in order to correctly simulate the singularities of the solution over long time ranges …
Multiresolution schemes for conservation laws
S Müller - … , Nonlinear and Adaptive Approximation: Dedicated to …, 2009 - Springer
The concept of fully adaptive multiresolution finite volume schemes has been developed
and investigated during the past decade. By now it has been successfully employed in …
and investigated during the past decade. By now it has been successfully employed in …
Numerical simulation of cooling gas injection using adaptive multiresolution techniques
W Dahmen, T Gotzen, S Melian, S Müller - Computers & fluids, 2013 - Elsevier
The interaction of a jet of cooling gas injected through single boreholes or slots with a
supersonic flow field plays an essential role in the design of innovative cooling systems. For …
supersonic flow field plays an essential role in the design of innovative cooling systems. For …
Quinpi: Integrating stiff hyperbolic systems with implicit high order finite volume schemes
G Puppo, M Semplice, G Visconti - arxiv preprint arxiv:2307.14685, 2023 - arxiv.org
Many interesting physical problems described by systems of hyperbolic conservation laws
are stiff, and thus impose a very small time-step because of the restrictive CFL stability …
are stiff, and thus impose a very small time-step because of the restrictive CFL stability …