Abstract
To reduce the computer time required to solve the governing equations for complex flow problems, it is essential to employ the numerical acceleration technique. This chapter discusses the local time-stepping, enthalpy damping, residual smoothing, multigrid, and low Mach-number preconditioning methods. With the exception of residual smoothing, all the other methods can be applied to both explicit and implicit time-stepping schemes. Preconditioning allows using the same numerical scheme for flows, where the Mach number varies between nearly zero and transonic or higher values. The chapter discusses the derivation of preconditioned equations and the implementation of the low Mach number preconditioning in a flow solver. The construction of a preconditioning matrix is relatively easy in the case of the Euler equations. The implementation of implicit residual smoothing (IRS) on structured as well as on unstructured grids is discussed in the chapter.
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