Recent progress on high-order discontinuous schemes for simulations of multiphase and multicomponent flows
Y Lv, J Ekaterinaris - Progress in Aerospace Sciences, 2023 - Elsevier
There have been growing research interests in high-order discontinuous schemes over
recent years. With established theoretical basis and framework, more efforts have recently …
recent years. With established theoretical basis and framework, more efforts have recently …
[PDF][PDF] The meshless local Petrov-Galerkin (MLPG) method: a simple & less-costly alternative to the finite element and boundary element methods
S Shen - Computer Modeling in Engineering & Sciences, 2002 - cdn.techscience.cn
A comparison study of the efficiency and accuracy of a variety of meshless trial and test
functions is presented in this paper, based on the general concept of the meshless local …
functions is presented in this paper, based on the general concept of the meshless local …
[HTML][HTML] High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids
This paper is concerned with the numerical solution of the unified first order hyperbolic
formulation of continuum mechanics recently proposed by Peshkov and Romenski [110] …
formulation of continuum mechanics recently proposed by Peshkov and Romenski [110] …
Arbitrary high order PNPM schemes on unstructured meshes for the compressible Navier–Stokes equations
M Dumbser - Computers & Fluids, 2010 - Elsevier
In this paper, we propose a new unified family of arbitrary high order accurate explicit one-
step finite volume and discontinuous Galerkin schemes on unstructured triangular and …
step finite volume and discontinuous Galerkin schemes on unstructured triangular and …
Compressible-flow geometric-porosity modeling and spacecraft parachute computation with isogeometric discretization
One of the challenges in computational fluid–structure interaction (FSI) analysis of
spacecraft parachutes is the “geometric porosity,” a design feature created by the hundreds …
spacecraft parachutes is the “geometric porosity,” a design feature created by the hundreds …
A fourth-order phase-field fracture model: Formulation and numerical solution using a continuous/discontinuous Galerkin method
Modeling crack initiation and propagation in brittle materials is of great importance to be
able to predict sudden loss of load-carrying capacity and prevent catastrophic failure under …
able to predict sudden loss of load-carrying capacity and prevent catastrophic failure under …
Porosity models and computational methods for compressible-flow aerodynamics of parachutes with geometric porosity
Spacecraft-parachute designs quite often include “geometric porosity” created by the
hundreds of gaps and slits that the flow goes through. Computational fluid–structure …
hundreds of gaps and slits that the flow goes through. Computational fluid–structure …
[HTML][HTML] A staggered space–time discontinuous Galerkin method for the three-dimensional incompressible Navier–Stokes equations on unstructured tetrahedral …
M Tavelli, M Dumbser - Journal of Computational Physics, 2016 - Elsevier
In this paper we propose a novel arbitrary high order accurate semi-implicit space–time
discontinuous Galerkin method for the solution of the three-dimensional incompressible …
discontinuous Galerkin method for the solution of the three-dimensional incompressible …
A high‐order discontinuous Galerkin method for compressible flows with immersed boundaries
We present a higher order discretization scheme for the compressible Euler and Navier–
Stokes equations with immersed boundaries. Our approach makes use of a discontinuous …
Stokes equations with immersed boundaries. Our approach makes use of a discontinuous …
A fully-coupled discontinuous Galerkin method for two-phase flow in porous media with discontinuous capillary pressure
P Bastian - Computational Geosciences, 2014 - Springer
In this paper, we formulate and test numerically a fully-coupled discontinuous Galerkin (DG)
method for incompressible two-phase flow with discontinuous capillary pressure. The spatial …
method for incompressible two-phase flow with discontinuous capillary pressure. The spatial …