Stabilized methods for compressible flows

TJR Hughes, G Scovazzi, TE Tezduyar - Journal of Scientific Computing, 2010 - Springer
Stabilized Methods for Compressible Flows Page 1 J Sci Comput (2010) 43: 343–368 DOI
10.1007/s10915-008-9233-5 Stabilized Methods for Compressible Flows Thomas JR Hughes …

[图书][B] Weak and measure-valued solutions to evolutionary PDEs

J Necas, J Málek, M Rokyta, M Ruzicka - 2019 - taylorfrancis.com
Weak and Measure-valued Solutions to Evolutionary PDEs Page 1 Weak and Measure-valued
Solutions to Evolutionary PDEs Page 2 APPLIED MATHEMATICS AND MATHEMATICAL …

A new finite element formulation for computational fluid dynamics: X. The compressible Euler and Navier-Stokes equations

F Shakib, TJR Hughes, Z Johan - Computer Methods in Applied Mechanics …, 1991 - Elsevier
A space-time element method is presented for solving the compressible Euler and Navier-
Stokes equations. The proposed formulation includes the variational equation, predictor …

Entropy viscosity method for nonlinear conservation laws

JL Guermond, R Pasquetti, B Popov - Journal of Computational Physics, 2011 - Elsevier
A new class of high-order numerical methods for approximating nonlinear conservation laws
is described (entropy viscosity method). The novelty is that a nonlinear viscosity based on …

[PDF][PDF] Variational multiscale methods in computational fluid dynamics

R Codina, S Badia, J Baiges, J Principe - … of computational mechanics, 2018 - deca.upc.edu
This article describes the Variational Multiscale Method (VMS) applied to flow problems. The
main idea of the formulation in the case of stationary linear problems is explained with some …

From finite differences to finite elements A short history of numerical analysis of partial differential equations

V Thomée - Numerical analysis: Historical developments in the …, 2001 - Elsevier
This is an account of the history of numerical analysis of partial differential equations,
starting with the 1928 paper of Courant, Friedrichs, and Lewy, and proceeding with the …

A velocity-pressure streamline diffusion finite element method for the incompressible Navier-Stokes equations

P Hansbo, A Szepessy - Computer Methods in Applied Mechanics and …, 1990 - Elsevier
In this paper a streamline diffusion finite element method is introduced for the time-
dependent incompressible Navier-Stokes equations in a bounded domain in R 2 and R 3 in …

On the convergence of shock-capturing streamline diffusion finite element methods for hyperbolic conservation laws

C Johnson, A Szepessy, P Hansbo - Mathematics of computation, 1990 - ams.org
We extend our previous analysis of streamline diffusion finite element methods for
hyperbolic systems of conservation laws to include a shock-capturing term adding artificial …

Stabilized methods for high-speed compressible flows: toward hypersonic simulations

D Codoni, G Moutsanidis, MC Hsu, Y Bazilevs… - Computational …, 2021 - Springer
A stabilized finite element framework for high-speed compressible flows is presented. The
Streamline-Upwind/Petrov–Galerkin formulation augmented with discontinuity-capturing …

[图书][B] Approximate solutions of nonlinear conservation laws

B Cockburn, CW Shu, C Johnson, E Tadmor, E Tadmor - 1998 - Springer
This is a summary of five lectures delivered at the CIME course on “Advanced Numerical
Approximation of Nonlinear Hyperbolic Equations” held in Cetraro, Italy, on June 1997 …