Numerical Computation of Compressible and Viscous Flow

Numerical Computation of Compressible and Viscous is written for those who want to calculate compressible and viscous flow past aerodynamic bodies. As taught by Robert W. MacCormack at Stanford University, it allows readers to get started in programming for solving initial value problems. It facilitates understanding of numerical accuracy and stability, matrix algebra, finite volume formulations, and the use of flux split algorithms for solving the Euler and Navier-Stokes equations. Featuring step by step presentation of numerical procedures for solving for flows of complex inviscid/viscous physical interactions, the first five chapters present the building blocks of computational fluid dynamics (CFD). Additional chapters present The Murman-Cole method for solving the Transonic Small Disturbance equation Transformations required to transform the governing equations in physical Cartesian space into body fitted computational space Several algorithms for solving the Euler equations, using as a test case the shock tube problem Harten's TVD (Total Variation Diminishing) procedure for higher resolution in space and time Procedures for solving implicit sets of equations via matrix inversion General boundary conditions for fluid flow Several applications of numerical procedures for solving the one and quasi one dimensional Euler equations Extension of the presented algorithms for solving the Euler equations and the Navier-Stokes equations to two and three dimensions