By M. O. Deville,P. F. Fischer,E. H. Mund

High-order numerical tools offer a good method of simulating many actual difficulties. This publication considers the diversity of mathematical, engineering, and machine technology themes that shape the basis of high-order numerical tools for the simulation of incompressible fluid flows in complicated 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 a close dialogue of tensor-product types, multi-domain tools, and preconditioners for iterative resolution thoughts. a number of discretizations of the regular and unsteady Stokes and Navier-Stokes equations are provided, with specific realization given to enforcement of incompressibility. complicated discretizations, implementation concerns, and parallel and vector functionality are thought of within the final sections. quite a few examples are supplied all through to demonstrate the services of high-order tools in real purposes. desktop scientists, engineers and utilized mathematicians drawn to constructing software program for fixing movement difficulties will locate this e-book a priceless reference.

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