Differential Equations

High-Order Methods for Incompressible Fluid Flow (Cambridge - download pdf or read online

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

High-order numerical equipment offer an effective method of simulating many actual difficulties. This publication considers the diversity of mathematical, engineering, and desktop technological know-how issues 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 an in depth dialogue of tensor-product types, multi-domain equipment, and preconditioners for iterative answer innovations. a number of discretizations of the regular and unsteady Stokes and Navier-Stokes equations are provided, with specific consciousness given to enforcement of incompressibility. complex discretizations, implementation concerns, and parallel and vector functionality are thought of within the final sections. various examples are supplied all through to demonstrate the functions of high-order tools in real purposes. machine scientists, engineers and utilized mathematicians drawn to constructing software program for fixing circulation difficulties will locate this e-book a worthy reference.

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High-Order Methods for Incompressible Fluid Flow (Cambridge Monographs on Applied and Computational Mathematics) by M. O. Deville,P. F. Fischer,E. H. Mund

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