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Higher order Godunov methods for general systems of hyperbolic conservation laws

Bell, John B ; Colella, Phillip ; Trangenstein, John A

J. Comput. Phys.; (United States), 1989-06, Vol.82 (2), p.362-397 [Periódico revisado por pares]

Amsterdam: Elsevier Inc

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Título:
Higher order Godunov methods for general systems of hyperbolic conservation laws
Autor: Bell, John B ; Colella, Phillip ; Trangenstein, John A
Assuntos: 640410 - Fluid Physics- General Fluid Dynamics ; 990230 - Mathematics & Mathematical Models- (1987-1989) ; ALGORITHMS ; CAUCHY PROBLEM ; COMPRESSIBILITY ; CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY ; CONSERVATION LAWS ; EIGENVALUES ; ENERGY SOURCES ; Exact sciences and technology ; FLUID FLOW ; FOSSIL FUELS ; FUELS ; GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE ; MATERIALS ; MATHEMATICAL LOGIC ; Mathematical methods in physics ; MECHANICAL PROPERTIES ; MULTIPHASE FLOW ; Numerical approximation and analysis ; PETROLEUM ; Physics ; POROUS MATERIALS
É parte de: J. Comput. Phys.; (United States), 1989-06, Vol.82 (2), p.362-397
Notas: W-7405-ENG-48
Descrição: We describe an extension of higher order Godunov methods to general systems of hyperbolic conservation laws. This extension allow the method to be applied to problems that are not strictly hyperbolic and exhibit local linear degeneracies in the wave fields. The method constructs an approximation of the Riemann problem from local wave information. A generalization of the Engquist-Osher flux for systems is then used to compute a numerical flux based on this approximation. This numerical flux replaces the Godunov numerical flux in the algorithm, thereby eliminating the need for a global Riemann problem solution. The additional modifications to the Godunov methodology that are needed to treat loss of strict hyperbolicity are described in detail. The method is applied to some simple model problems for which the global analytic structure is known. The method is also applied to the black-oil model for multiphase flow in petroleum reservoirs.
Editor: Amsterdam: Elsevier Inc
Idioma: Inglês

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Higher order Godunov methods for general systems of hyperbolic conservation laws

Bell, John B ; Colella, Phillip ; Trangenstein, John A

Amsterdam: Elsevier Inc

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