This title brings together classical and recent developments on the application of integral equation numerical techniques for the solution of fluid dynamic problems. The particular technique adopted is the Boundary Element Method (BEM), which is recognized as one of the most efficient numerical methods to solve boundary value problems. The first part of the book reviews the fundamental principles and equations governing fluid motion and the second part presents formulations and applications of the BEM as the basis for numerical solution of inviscid and viscous flow problems.
Sprache
Verlagsort
Southampton
Großbritannien
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Illustrationen
Maße
ISBN-13
978-1-85312-252-1 (9781853122521)
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Schweitzer Klassifikation
Part 1 Introduction to fluid mechanics: basic conservation laws; approximate forms of the governing equations; special forms of the governing equations. Part 2 Integral equation theory: classification of integral equations; method of successive approximations; integral equations with degenerate kernels; general case of Fredholm's equation; systems of integral equations. Part 3 Potential theory: basic concepts of potential theory; indirect formulation; regularity conditions for exterior problems. Part 4 Numerical solution of potential flow problems: boundary integral equation; formulation and numerical solution of selected problems. Part 5 Boundary integral equations for low Reynolds number flow: Greens' identities; hydrodynamic single- and double-layer potentials; indirect formulation; Lyapunov-Tauber theorem for Stokes double-layer potential; dynamic properties of the singularities and their distributions. Part 6 The low Reynolds number deformation of viscous drops and gas bubbles: viscous drop deformation; compound drop deformation; gas bubble deformation. Part 7 Navier-Stokes equations: velocity-pressure formulation; velocity-vorticity formulation.
