Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Domain Decomposition Preconditioners for Discontinuous Galerkin Discretizations of Compressible Fluid Flows
View through CrossRef
In this article we consider the application of Schwarz-type domain decomposition preconditioners
to the discontinuous Galerkin finite element approximation of the compressible
Navier-Stokes equations. To discretize this system of conservation laws,
we exploit the (adjoint consistent) symmetric version of the
interior penalty discontinuous Galerkin finite element method.
To define the necessary coarse-level solver required for the definition
of the proposed preconditioner, we exploit ideas from composite finite
element methods, which allow for the definition of finite element schemes
on general meshes consisting of polygonal (agglomerated) elements.
The practical performance of the proposed preconditioner is demonstrated for a
series of viscous test cases in both two- and three-dimensions.
Global Science Press
Title: Domain Decomposition Preconditioners for Discontinuous Galerkin Discretizations of Compressible Fluid Flows
Description:
In this article we consider the application of Schwarz-type domain decomposition preconditioners
to the discontinuous Galerkin finite element approximation of the compressible
Navier-Stokes equations.
To discretize this system of conservation laws,
we exploit the (adjoint consistent) symmetric version of the
interior penalty discontinuous Galerkin finite element method.
To define the necessary coarse-level solver required for the definition
of the proposed preconditioner, we exploit ideas from composite finite
element methods, which allow for the definition of finite element schemes
on general meshes consisting of polygonal (agglomerated) elements.
The practical performance of the proposed preconditioner is demonstrated for a
series of viscous test cases in both two- and three-dimensions.
Related Results
On the numerical simulation of compressible flows
On the numerical simulation of compressible flows
In this thesis, numerical tools to simulate compressible flows in a wide range of situations are presented. It is intended to represent a step forward in the scientific research of...
Convergence analysis for the system of linear integral equations on the half-line
Convergence analysis for the system of linear integral equations on the half-line
This paper develops projection and multi-projection methods, for the numerical approximation of systems of linear Fredholm integral equations of the second kind with smooth kernels...
High-order discontinuous Galerkin methods for incompressible flows
High-order discontinuous Galerkin methods for incompressible flows
Aquesta tesi doctoral proposa formulacions de Galerkin discontinu (DG) d'alt ordre per fluxos viscosos incompressibles. <br/>Es desenvolupa un nou mètode de DG amb penalti in...
Advances in the Physics and Computation of Compressible Liquid Transients
Advances in the Physics and Computation of Compressible Liquid Transients
Accurate modeling of compressible liquid transients requires robust modeling of compressibility effects in a liquid, such as density variations and acoustic velocities. Efficient a...
SEISMIC SPARSE INVERSION METHOD OF IMAGING DATA FOR DETECTING DISCONTINUOUS AND INHOMOGENEOUS GEOLOGIES
SEISMIC SPARSE INVERSION METHOD OF IMAGING DATA FOR DETECTING DISCONTINUOUS AND INHOMOGENEOUS GEOLOGIES
AbstractThe small‐scale discontinuous and inhomogeneous geologies, such as tiny faults, cavities and fractures, play an important role in reservoir analysis. However, effectively e...
Experimental Investigation of Permeability and Fluid Loss Properties of Water Based Mud Under High Pressure-High Temperature Conditions
Experimental Investigation of Permeability and Fluid Loss Properties of Water Based Mud Under High Pressure-High Temperature Conditions
Drilling in deeper formations and in high pressure and high temperature (HPHT) environments is a new frontier for the oil industry. Fifty years ago, no one would have imagined dril...
Novel uncertainty quantification methods for stochastic isogeometric analysis
Novel uncertainty quantification methods for stochastic isogeometric analysis
The main objective of this study is to develop novel computational methods for general high-dimensional uncertainty quantification (UQ) with a focus on stochastic isogeometric anal...
Monolithic Convex Limiting for Legendre-Gauss-Lobatto Discontinuous Galerkin Spectral-Element Methods
Monolithic Convex Limiting for Legendre-Gauss-Lobatto Discontinuous Galerkin Spectral-Element Methods
AbstractWe extend the monolithic convex limiting (MCL) methodology to nodal discontinuous Galerkin spectral-element methods (DGSEMS). The use of Legendre-Gauss-Lobatto (LGL) quadra...