Journal ArticleDOI
Adaptive streamline diffusion methods for compressible flow using conservation variables
Peter Hansbo,Claes Johnson +1 more
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In this article, the streamline diffusion finite element method applied to compressible flow using conservation variables is considered and some adaptive algorithms and numerical results are presented. But they do not consider how to apply this method to compressable flow.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1991-06-01. It has received 41 citations till now. The article focuses on the topics: Streamline diffusion & Compressible flow.read more
Citations
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Journal ArticleDOI
Introduction to Adaptive Methods for Differential Equations
TL;DR: The Differential Calculus can be solved by a common method (Gottfried Wilhelm von Leibniz, 1646-1719) as mentioned in this paper, which is known as the Differential Algorithm of this calculus.
Journal ArticleDOI
Adaptive finite element methods in computational mechanics
Claes Johnson,Peter Hansbo +1 more
TL;DR: In this article, a general approach to adaptivity for finite element methods is presented and applications to linear elasticity, non-linear elasto-plasticity and nonlinear conservation laws, including numerical results.
Proceedings ArticleDOI
Recent developments in high order K-exact reconstruction on unstructured meshes
TL;DR: In this article, an upwind finite-volume scheme was proposed for solving scalar advection-diffusion equations as well as the Euler and Navier-Stokes equations.
Journal ArticleDOI
A unified approach to compressible and incompressible flows
TL;DR: In this paper, a finite element formulation for solving the compressible Navier-Stokes equations is presented, which accommodates the use of any set of variables, including primitive variables (p, u, T ), or entropy variables.
Journal ArticleDOI
Adaptive streamline diffusion finite element methods for stationary convection-diffusion problems
Kenneth Eriksson,Claes Johnson +1 more
TL;DR: Adaptive finite element methods for stationary convectiondiffusion problems are designed and analyzed based on a posteriori error estimates for the Shock-capturing Streamline Diffusion method to show that the algorithms are efficient in a certain sense.
References
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Journal ArticleDOI
Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
A. N. Brooks,Thomas J. R. Hughes +1 more
TL;DR: In this article, a new finite element formulation for convection dominated flows is developed, based on the streamline upwind concept, which provides an accurate multidimensional generalization of optimal one-dimensional upwind schemes.
Journal ArticleDOI
The numerical simulation of two-dimensional fluid flow with strong shocks
Paul R. Woodward,Phillip Colella +1 more
TL;DR: In this paper, a comparison of numerical methods for simulating hydrodynamics with strong shocks in two dimensions is presented and discussed, and three approaches to treating discontinuities in the flow are discussed.
Journal ArticleDOI
A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuscka-Brezzi condition: A stable Petrov-Galerkin formulation of
TL;DR: A new Petrov-Galerkin formulation of the Stokes problem is proposed in this paper, which possesses better stability properties than the classical Galerkin/variational method.
Journal ArticleDOI
A new finite element formulation for computational fluid dynamics: II. Beyond SUPG
TL;DR: In this article, a discontinuity-capturing term is added to the streamline upwind/Petrov-Galerkin weighting function for the scalar advection-diffusion equation.
Journal ArticleDOI
Adaptive remeshing for compressible flow computations
TL;DR: An adaptive mesh procedure for improving the quality of steady state solutions of the Euler equations in two dimensions is described, implemented in conjunction with a finite element solution algorithm, using linear triangular elements, and an explicit time-stepping scheme.
Related Papers (5)
Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
A. N. Brooks,Thomas J. R. Hughes +1 more