Publication: An AUSM-based high-order compact method for solving Navier-Stokes equations
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Date
2004
Authors
Mawlood M.K.
Basri S.N.
Asrar W.
Omar A.A.
Mokhtar A.S.
Ahmad M.M.H.M.
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Abstract
A high-order compact upwind algorithm is developed for solving Navier-Stokes equations in two-space dimensions. The method is based on advection upstream splitting method and fourth-order compact finite-difference schemes. The convection flux terms of the Navier-Stokes equations are discretized by a compact cell-centered differencing scheme while the diffusion flux terms are discretized by a central fourth-order compact scheme. The midpoint values of the flux functions required by the cell-centered compact scheme are determined by a fourth-order MUSCL approach. For steady-state solutions; first-order implicit time integration, with LU decomposition, is employed. Computed results for a laminar flow past a flat plate and the problem of shock-wave boundary layer interaction are presented.
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Keywords
Differential equations , Dynamics , Gases , Algorithms , Boundary layers , Finite difference method , Functions , Laminar flow , Navier Stokes equations , Shock waves , Two dimensional , High order compact unwind algorithm , Two space dimensions , Aerospace engineering