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Please use this identifier to cite or link to this item: http://hdl.handle.net/1807/11173

Title: A Parallel Implicit Adaptive-mesh-refinement Scheme for Hypersonic Flows with an Equilibrium High-temperature Equation of State
Authors: Wood, Alistair Henry Cameron
Advisor: Groth, Clinton P. T.
Department: Aerospace Science and Engineering
Keywords: computational fluid dynamics
hypersonic flows
high-temperature equation of state
Issue Date: 30-Jul-2008
Abstract: 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.
URI: http://hdl.handle.net/1807/11173
Appears in Collections:Master
Institute for Aerospace Studies - Master theses

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