Journal ArticleDOI
Finite volume solution of the two-dimensional Euler equations on a regular triangular mesh
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The two-dimensional Euler equations have been solved on a triangular grid by a multigrid scheme using the finite volume approach and in its present form, the accuracy and convergence rate of the triangle code are comparable to that of the quadrilateral mesh code of Jameson.Abstract:
The two-dimensional Euler equations have been solved on a triangular grid by a multigrid scheme using the finite volume approach. By careful construction of the dissipative terms, the scheme is designed to be secondorder accurate in space, provided the grid is smooth, except in the vicinity of shocks, where it behaves as firstorder accurate. In its present form, the accuracy and convergence rate of the triangle code are comparable to that of the quadrilateral mesh code of Jameson.read more
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Book
Computational Fluid Dynamics: Principles and Applications Ed. 3
TL;DR: This updated edition includes new worked programming examples, expanded coverage and recent literature regarding incompressible flows, the Discontinuous Galerkin Method, the Lattice Boltzmann Method, higher-order spatial schemes, implicit Runge-Kutta methods and code parallelization.
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Unsteady Euler airfoil solutions using unstructured dynamic meshes
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Proceedings ArticleDOI
Higher order solution of the Euler equations on unstructured grids using quadratic reconstruction
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Unsteady euler algorithm with unstructured dynamic mesh for complex – aircraft aerodynamic analysis
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Journal ArticleDOI
Multigrid solution of the two-dimensional Euler equations on unstructured triangular meshes
TL;DR: The multigrid method is applied to two different discretizations of the Euler equations, and results about multi-element airfoils are presented, resulting in convergence rates comparable to those obtained with structured multigrids.
References
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Numerical solution of the Euler equations by finite volume methods using Runge Kutta time stepping schemes
TL;DR: In this paper, a new combination of a finite volume discretization in conjunction with carefully designed dissipative terms of third order, and a Runge Kutta time stepping scheme, is shown to yield an effective method for solving the Euler equations in arbitrary geometric domains.
Journal ArticleDOI
Solution of the Euler equations for two dimensional transonic flow by a multigrid method
TL;DR: In this paper, the Euler equations for steady transonic inviscidions are used to test the stability of a transonic system with respect to a large number of potential orders of magnitude.
Proceedings ArticleDOI
Solution of the Euler equations for complex configurations
Antony Jameson,Timothy J. Baker +1 more
Journal ArticleDOI
Multigrid solution of the two-dimensional Euler equations on unstructured triangular meshes
TL;DR: The multigrid method is applied to two different discretizations of the Euler equations, and results about multi-element airfoils are presented, resulting in convergence rates comparable to those obtained with structured multigrids.