[HTML][HTML] : A high-order discontinuous Galerkin solver for flow simulations and multi-physics applications
We present the latest developments of our High-Order Spectral Element Solver (Image 1),
an open source high-order discontinuous Galerkin framework, capable of solving a variety of …
an open source high-order discontinuous Galerkin framework, capable of solving a variety of …
Design of a Smagorinsky spectral vanishing viscosity turbulence model for discontinuous Galerkin methods
We present a new closure model for Large Eddy Simulation to introduce dissipation in under–
resolved turbulent simulation using discontinuous Galerkin (DG) schemes applied to the …
resolved turbulent simulation using discontinuous Galerkin (DG) schemes applied to the …
Entropy–stable discontinuous Galerkin approximation with summation–by–parts property for the incompressible Navier–Stokes/Cahn–Hilliard system
We develop an entropy–stable two–phase incompressible Navier–Stokes/Cahn–Hilliard
discontinuous Galerkin (DG) flow solver method. The model poses the Cahn–Hilliard …
discontinuous Galerkin (DG) flow solver method. The model poses the Cahn–Hilliard …
Improving the stability of multiple-relaxation lattice Boltzmann methods with central moments
In this work we seek lattice Boltzmann methods (LBM) with improved stability that retain
accuracy. Using von Neumann stability analysis to extract dispersion and diffusion errors …
accuracy. Using von Neumann stability analysis to extract dispersion and diffusion errors …
Insights on aliasing driven instabilities for advection equations with application to Gauss–Lobatto discontinuous Galerkin methods
We analyse instabilities due to aliasing errors when solving one dimensional non-constant
advection speed equations and discuss means to alleviate these types of errors when using …
advection speed equations and discuss means to alleviate these types of errors when using …
[HTML][HTML] Jump penalty stabilization techniques for under-resolved turbulence in discontinuous Galerkin schemes
Jump penalty stabilization techniques for under-resolved turbulence have been recently
proposed for continuous and discontinuous high order Galerkin schemes [1],[2],[3]. The …
proposed for continuous and discontinuous high order Galerkin schemes [1],[2],[3]. The …
[HTML][HTML] Eigensolution analysis of immersed boundary method based on volume penalization: applications to high-order schemes
J Kou, A Hurtado-de-Mendoza, S Joshi… - Journal of …, 2022 - Elsevier
This paper presents eigensolution and non-modal analyses for immersed boundary
methods (IBMs) based on volume penalization for the linear advection equation. This …
methods (IBMs) based on volume penalization for the linear advection equation. This …
[HTML][HTML] Data-driven eigensolution analysis based on a spatio-temporal Koopman decomposition, with applications to high-order methods
We propose a data-driven method to perform eigensolution analyses and quantify numerical
errors in a non-intrusive manner. In classic eigensolution analysis methods, explicit matrices …
errors in a non-intrusive manner. In classic eigensolution analysis methods, explicit matrices …
Fully-discrete spatial eigenanalysis of discontinuous spectral element methods: insights into well-resolved and under-resolved vortical flows
This study presents a comprehensive spatial eigenanalysis of fully-discrete discontinuous
spectral element methods, now generalising previous spatial eigenanalysis that did not …
spectral element methods, now generalising previous spatial eigenanalysis that did not …
On the role of numerical dissipation in stabilising under-resolved turbulent simulations using discontinuous Galerkin methods
We analyse numerical errors (dissipation and dispersion) introduced by the discretisation of
inviscid and viscous terms in energy stable discontinuous Galerkin methods. First, we …
inviscid and viscous terms in energy stable discontinuous Galerkin methods. First, we …