Finite Volume Method Fundamentals

Author: Li Renxian
Publisher:
Publish Date: 2005-07-01
Features: This book discusses the basic ideas and characteristics of the Finite Volume Method (FVM). It focuses on introducing the Finite Volume Method for steady-state diffusion problems, convection-diffusion problems, and pressure-velocity coupling problems. It briefly introduces the Finite Volume Method for unsteady flow problems and boundary condition treatment. The book also discusses the differential schemes that significantly affect the convergence and accuracy of equation solutions, as well as the basic solution methods for discretized FVM equations. Finally, it covers irregular grids and their computational issues, which are of great significance in practical applications. The content of this book is presented in a step-by-step manner, starting from basic concepts and gradually moving to more advanced topics, with numerous examples to facilitate self-study. It can be used as a textbook for colleges and universities and also serves as a reference for engineering professionals.