Jari Hämäläinen

Dmitri Kuzmin is a computational mathematician and professor at Dortmund University of Technology (TU Dortmund) in Germany. He has authored more than 80 publications and co-edited two editions of the book Flux-Corrected Transport: Principles, Algorithms, and Applications (Springer). Professor Kuzmin's research is focused on the design of high-resolution finite element schemes for computational fluid dynamics. His contributions to the field include a variety of flux and slope limiting techniques for enforcing positivity constraints and discrete maximum principles. Jari Hämäläinen is Professor of Industrial Mathematics at Lappeenranta University of Technology (LUT) in Lappeenranta, Finland. After obtaining his doctoral degree in 1993, he worked a decade in industry until he was appointed as a professor in 2004. His major research interests are computational fluid dynamics (CFD) and CFD-based optimization in industrial applications. He has supervised 10 doctoral students (dissertations in 2007–2014), published more than 100 scientific papers, and has 12 patents. Professor Hämäläinen is a member of the executive committee of European Research Community on Flow, Turbulence and Combustion (ERCOFTAC).

This informal introduction to computational fluid dynamics and practical guide to numerical simulation of transport phenomena covers the derivation of the governing equations, construction of finite element approximations, and qualitative properties of numerical solutions, among other topics. To make the book accessible to readers with diverse interests and backgrounds, the authors begin at a basic level and advance to numerical tools for increasingly difficult flow problems, emphasizing practical implementation rather than mathematical theory. Finite Element Methods for Computational Fluid Dynamics: A Practical Guide 1) explains the basics of the finite element method (FEM) in the context of simple model problems, illustrated by numerical examples; 2) comprehensively reviews stabilization techniques for convection-dominated transport problems, introducing the reader to streamline diffusion methods, Petrov–Galerkin approximations, Taylor–Galerkin schemes, flux-corrected transport algorithms, and other nonlinear high-resolution schemes; 3) covers Petrov–Galerkin stabilization, classical projection schemes, Schur complement solvers, and the implementation of the k-epsilon turbulence model in its presentation of the FEM for incompressible flow problems; 4) describes the open-source finite element library ELMER, which is recommended as a software development kit for advanced applications in an online component. The text is aimed at advanced undergraduate and graduate students in computational engineering. It may also be useful to physicists, computational scientists, and developers of numerical simulation software.