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Numerical Methods for Unsteady Compressible Flow Problems is written to give both mathematicians and engineers an overview of the state of the art in the field, as well as of new developments. The focus is on methods for the compressible Navier-Stokes equations, the solutions of which can exhibit shocks, boundary layers and turbulence. The idea of the text is to explain the important ideas to the reader, while giving enough detail and pointers to literature to facilitate implementation of methods and application of concepts.
The book covers high order methods in space, such as Discontinuous Galerkin methods, and high order methods in time, in particular implicit ones. A large part of the text is reserved to discuss iterative methods for the arising large nonlinear and linear equation systems. Ample space is given to both state-of-the-art multigrid and preconditioned Newton-Krylov schemes.
Applications to aerospace, high-speed vehicles, heat transfer, and more besides
Suitable as a textbook for graduate-level courses in CFD, or as a reference for practitioners in the field
About the Author
Philipp Birken is an associate professor for numerical analysis and scientific computing at the Centre for the Mathematical Sciences at Lund University, Sweden. He received his PhD in mathematics in 2005 from the University of Kassel, Germany, where he also received his habilitation in 2012. He was a PostDoc and a consulting assistant professor at the Institute for Computational & Mathematical Engineering at Stanford University, USA. His work is in numerical methods for compressible CFD and Fluid-Structure-Interaction.