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Stabilized shock hydrodynamics. I: A Lagrangian method (Q2459287)

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English	Stabilized shock hydrodynamics. I: A Lagrangian method	scientific article

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scholarly article

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Stabilized shock hydrodynamics. I: A Lagrangian method (English)

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zbMATH Open document ID

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10.1016/j.cma.2006.08.008

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Guglielmo Scovazzi

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Mark A. Christon

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Thomas J. R. Hughes

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Computer Methods in Applied Mechanics and Engineering

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publication date

5 November 2007

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

Lagrangian shock hydrodynamics

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SUPG stabilization

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variational multiscale methods

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stabilized methods

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cma.2006.08.008

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A new two-dimensional flux-limited shock viscosity for impact calculations

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Computational methods in Lagrangian and Eulerian hydrocodes

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Stability of the SUPG finite element method for transient advection-diffusion problems

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Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations

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A tensor artificial viscosity using a mimetic finite differential algorithm

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Formulations of artificial viscosity for multi-dimensional shock wave computations

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An analysis of the time integration algorithms for the finite element solutions of incompressible Navier--Stokes equations based on a stabilised formulation.

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Global error control for the continuous Galerkin finite element method for ordinary differential equations

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A space-time finite element method for the wave equation

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Long-time behaviour of arbitrary order continuous time Galerkin schemes for some one-dimensional phase transition problems

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A continuous space-time finite element method for the wave equation

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Simple stabilizing matrices for the computation of compressible flows in primitive variables

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A unified approach to compressible and incompressible flows

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A comparative study of different sets of variables for solving compressible and incompressible flows

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Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods

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The continuous Galerkin method is locally conservative

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The variational multiscale method -- a paradigm for computational mechanics

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A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations

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A new finite element formulation for computational fluid dynamics. VI. Convergence analysis of the generalized SUPG formulation for linear time- dependent multidimensional advective-diffusive systems

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A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems

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Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations

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Discrete Galerkin and Related One-Step Methods for Ordinary Differential Equations

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Stability and Convergence of a Generalized Crank-Nicolson Scheme on a Variable Mesh for the Heat Equation

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Finite element methods for linear hyperbolic problems

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On the Convergence of a Finite Element Method for a Nonlinear Hyperbolic Conservation Law

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On the Convergence of Shock-Capturing Streamline Diffusion Finite Element Methods for Hyperbolic Conservation Laws

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A stabilized mixed finite element method for finite elasticity. Formulation for linear displacement and pressure interpolation

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Stabilized finite element method for viscoplastic flow: formulation with state variable evolution

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Stabilized finite element method for viscoplastic flow: Formulation and a simple progressive solution strategy

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Higher order stabilized finite element method for hyperelastic finite deformation

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Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux

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Stabilized shock hydrodynamics. II: Design and physical interpretation of the SUPG operator for Lagrangian computations

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A new finite element formulation for computational fluid dynamics. IX: Fourier analysis of space-time Galerkin/least-squares algorithms

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A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws

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Convergence of a Shock-Capturing Streamline Diffusion Finite Element Method for a Scalar Conservation Law in Two Space Dimensions

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Computation of moving boundaries and interfaces and stabilization parameters

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Mesh update strategies in parallel finite element computations of flow problems with moving boundaries and interfaces

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Stabilization and shock-capturing parameters in SUPG formulation of compressible flows

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A Method for the Numerical Calculation of Hydrodynamic Shocks

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Use of artificial viscosity in multidimensional fluid dynamic calculations

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The numerical simulation of two-dimensional fluid flow with strong shocks

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