High-Resolution Methods For Incompressible And Low-Speed Flows
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This book covers the basic techniques for simulating incompressible and low-speed flows with high fidelity in conjunction with high-resolution methods. This includes techniques for steady and unsteady flows with high-order time integration and multigrid methods, as well as specific issues associated with interfacial and turbulent flows. The book is addressed to a broad readership, including engineers and scientists concerned with the development or application of computational methods for fluid flow problems in: Mechanical, Aerospace, Civil and Chemical Engineering, Biological Flows, Atmospheric and Oceanographic Applications as well as other Environmental disciplines. It can be used for teaching postgraduate courses on Computational Fluid Dynamics and Numerical Methods in Engineering and Applied Mathematics, and can also be used as a complementary textbook in undergraduate CFD courses.
1Introduction12The fluid flow equations73The viscous fluid flow equations274Curvilinear coordinates and transformed equations515Overview of various formulations and model equations676Basic principles in numerical analysis797Time integration methods998Numerical linear algebra1219Compressible and preconditioned-compressible solvers14710The artificial compressibility method17311Projection methods : the basic theory and the exact projection method20912Approximate projection methods23713Introduction to modern high-resolution methods29514High-resolution Godunov-type methods for projection methods30915Centered high-resolution methods34716Riemann solvers and TVD methods in strict conservation form37317Beyond second-order methods42918Variable density flows and volume tracking methods47919High-resolution methods and turbulent flow computation529AMATHEMATICA commands for numerical analysis557BExample computer implementations563
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