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A Parallel Implicit Adaptive-mesh-refinement Scheme for Hypersonic Flows with an Equilibrium High-temperature Equation of State

A parallel implicit adaptive-mesh-refinement scheme is proposed for the solution of the Navier-Stokes equations as applied to two-dimensional steady-state hypersonic laminar flows in conjunction with an equilibrium high-temperature equation of state. A finite-volume discretization is applied to the governing equations. Limited piecewise-linear solution reconstruction and Riemann solvers (Roe and HLLE, both modified for a general equation of state) are used to evaluate the inviscid fluxes. The gradients in the viscous fluxes are calculated using diamond-path reconstruction. The system of non-linear algebraic equations resulting from the finite-volume discretization are solved using an inexact Newton method with GMRES to solve the update step of the Newton method. GMRES is preconditioned with Schwarz preconditioning with local block-fill incomplete lower-upper factorization. Multigrid and pseudo-transient continuation are used for startup. Numerical results, including flows at Mach numbers of 7.0, are discussed and demonstrate the validity and efficiency of the scheme.

Identiferoai:union.ndltd.org:TORONTO/oai:tspace.library.utoronto.ca:1807/11173
Date30 July 2008
CreatorsWood, Alistair Henry Cameron
ContributorsGroth, Clinton P. T.
Source SetsUniversity of Toronto
Languageen_ca
Detected LanguageEnglish
TypeThesis
Format27858183 bytes, application/pdf

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