Numerical Computation of Compressible and Viscous Flow (Hardback)

Numerical Computation of Compressible and Viscous Flow is written for those who want to calculate compressible and viscous flow past aerodynamic bodies. As taught by Robert W. MacCormack at Stanford University, this material allows readers to get started 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 complex inviscid/viscous physical interactions, the first five chapters present the building blocks of computational fluid dynamics (CFD). Additional chapters include the following:
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 the shock tube problem as a test case
Harten's total variation diminishing (TVD) 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 1-D and quasi 1-D Euler equations
Extension of the presented algorithms for solving the Euler equations and the Navier–Stokes equations to two and three dimensions

Throughout the book are detailed solution procedures for 40 flow problem exercises.