By Deville M.O., Fischer P.F., Mund E.H.
High-order numerical equipment offer a good method of simulating many actual difficulties. This booklet considers the diversity of mathematical, engineering, and laptop technology themes that shape the root of high-order numerical equipment for the simulation of incompressible fluid flows in advanced domain names. Introductory chapters current high-order spatial and temporal discretizations for one-dimensional difficulties. those are prolonged to a number of house dimensions with an in depth dialogue of tensor-product kinds, multi-domain tools, and preconditioners for iterative resolution suggestions. a number of discretizations of the regular and unsteady Stokes and Navier-Stokes equations are awarded, with specific sttention given to enforcement of imcompressibility. complicated discretizations. implementation matters, and parallel and vector functionality are thought of within the last sections. quite a few examples are supplied all through to demonstrate the functions of high-order equipment in genuine functions.