A novel robust strategy for discontinuous Galerkin methods in computational fluid mechanics: Why? When? What? Where?
GJ Gassner, AR Winters - Frontiers in Physics, 2021 - frontiersin.org
In this paper we will review a recent emerging paradigm shift in the construction and
analysis of high order Discontinuous Galerkin methods applied to approximate solutions of …
analysis of high order Discontinuous Galerkin methods applied to approximate solutions of …
Accurate conservative phase-field method for simulation of two-phase flows
SS Jain - Journal of Computational Physics, 2022 - Elsevier
In this work, we propose a novel phase-field model for the simulation of two-phase flows that
is accurate, conservative, bounded, and robust. The proposed model conserves the mass of …
is accurate, conservative, bounded, and robust. The proposed model conserves the mass of …
An immersed boundary method for wall-modeled large-eddy simulation of turbulent high-Mach-number flows
The excessive computational resource requirements for direct numerical simulation (DNS)
and wall-resolved large eddy simulation (LES) make these methods intractable for …
and wall-resolved large eddy simulation (LES) make these methods intractable for …
An efficient lattice Boltzmann method for compressible aerodynamics on D3Q19 lattice
An efficient lattice Boltzmann (LB) model relying on a hybrid recursive regularization (HRR)
collision operator on D3Q19 stencil is proposed for the simulation of three-dimensional high …
collision operator on D3Q19 stencil is proposed for the simulation of three-dimensional high …
FFVHC-ACE: fully automated Cartesian-grid-based solver for compressible large-eddy simulation
This study presents a fully automated Cartesian-grid-based compressible flow solver,
named FrontFlow/Violet Hierarchical Cartesian for Aeronautics based on Compressible-flow …
named FrontFlow/Violet Hierarchical Cartesian for Aeronautics based on Compressible-flow …
Comprehensive analysis of entropy conservation property of non-dissipative schemes for compressible flows: KEEP scheme redefined
A theoretical analysis of the entropy conservation properties is conducted to explain the
different behaviors of the non-dissipative finite-difference spatial discretization schemes …
different behaviors of the non-dissipative finite-difference spatial discretization schemes …
Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes
H Ranocha, GJ Gassner - Communications on Applied Mathematics and …, 2021 - Springer
Recently, it was discovered that the entropy-conserving/dissipative high-order split-form
discontinuous Galerkin discretizations have robustness issues when trying to solve the …
discontinuous Galerkin discretizations have robustness issues when trying to solve the …
[HTML][HTML] Global and local conservation of mass, momentum and kinetic energy in the simulation of compressible flow
G Coppola, AEP Veldman - Journal of Computational Physics, 2023 - Elsevier
The spatial discretization of convective terms in compressible flow equations is studied from
an abstract viewpoint, for finite-difference methods and finite-volume type formulations with …
an abstract viewpoint, for finite-difference methods and finite-volume type formulations with …
A kinetic energy–and entropy-preserving scheme for compressible two-phase flows
Accurate numerical modeling of compressible flows, particularly in the turbulent regime,
requires a method that is non-dissipative and stable at high Reynolds (Re) numbers. For a …
requires a method that is non-dissipative and stable at high Reynolds (Re) numbers. For a …
Conservative low-pass filter with compact stencils for hierarchical Cartesian mesh
A conservative low-pass explicit filter with compact stencils for hierarchical Cartesian mesh
is proposed. The proposed filter has two key features; the primary conservation of the …
is proposed. The proposed filter has two key features; the primary conservation of the …