Entropy stable space–time discontinuous Galerkin schemes with summation-by-parts property for hyperbolic conservation laws
L Friedrich, G Schnücke, AR Winters… - Journal of Scientific …, 2019 - Springer
This work examines the development of an entropy conservative (for smooth solutions) or
entropy stable (for discontinuous solutions) space–time discontinuous Galerkin (DG) method …
entropy stable (for discontinuous solutions) space–time discontinuous Galerkin (DG) method …
Continuous finite element subgrid basis functions for discontinuous Galerkin schemes on unstructured polygonal Voronoi meshes
We propose a new high order accurate nodal discontinuous Galerkin (DG) method for the
solution of nonlinear hyperbolic systems of partial differential equations (PDE) on …
solution of nonlinear hyperbolic systems of partial differential equations (PDE) on …
A p-adaptive Matrix-Free Discontinuous Galerkin Method for the Implicit LES of Incompressible Transitional Flows
Abstract In recent years Computational Fluid Dynamics (CFD) has become a widespread
practice in industry. The growing need to simulate off-design conditions, characterized by …
practice in industry. The growing need to simulate off-design conditions, characterized by …
Entropy-Adjoint -Adaptive Discontinuous Galerkin Method for the Under-Resolved Simulation of Turbulent Flows
This paper presents an approach to mesh adaptation suitable for scale-resolving
simulations. The methodology is based on the entropy-adjoint approach, which corresponds …
simulations. The methodology is based on the entropy-adjoint approach, which corresponds …
A dynamically load-balanced parallel p-adaptive implicit high-order flux reconstruction method for under-resolved turbulence simulation
We present a dynamically load-balanced parallel p-adaptive implicit high-order flux
reconstruction method for under-resolved turbulence simulation. The high-order explicit first …
reconstruction method for under-resolved turbulence simulation. The high-order explicit first …
A sub-element adaptive shock capturing approach for discontinuous Galerkin methods
In this paper, a new strategy for a sub-element-based shock capturing for discontinuous
Galerkin (DG) approximations is presented. The idea is to interpret a DG element as a …
Galerkin (DG) approximations is presented. The idea is to interpret a DG element as a …
[HTML][HTML] An explicit local space-time adaptive framework for monodomain models in cardiac electrophysiology
We present a new explicit local space–time adaptive framework to decrease the time
required for monodomain simulations for cardiac electrophysiology. Based on the localized …
required for monodomain simulations for cardiac electrophysiology. Based on the localized …
p-adaptive discontinuous Galerkin solution of transonic viscous flows with variable time step-size
The discontinuous Galerkin methods demonstrated to be well suited for scale resolving
simulations of complex configurations, characterized by different fluid dynamics phenomena …
simulations of complex configurations, characterized by different fluid dynamics phenomena …
[PDF][PDF] Local Virtual Element Basis Functions for Space-Time Discontinuous Galerkin Schemes on Unstructured Voronoi Meshes
W Boscheri, G Bertaglia - Communications in Computational …, 2024 - researchgate.net
We introduce a new class of Discontinuous Galerkin (DG) methods for solving nonlinear
conservation laws on unstructured Voronoi meshes that use a local Virtual Element basis …
conservation laws on unstructured Voronoi meshes that use a local Virtual Element basis …
An implicit p‐adaptive discontinuous Galerkin solver for CAA/CFD simulations
In the last decades flow simulations have become a routine practice in many industrial fields
for the aerodynamic and noise prediction. Moreover, the ever increasing interest in …
for the aerodynamic and noise prediction. Moreover, the ever increasing interest in …