Characteristics Finite Element Methods in Computational Fluid Dynamics

Characteristics Finite Element Methods in Computational Fluid Dynamics

المؤلف
Joe Iannelli
سنة النشر
2006
الناشر
Springer
لغة الملف
انكليزي
نوع الملف
Book
تصنيف الكتاب
Engineering

This book details a systematic characteristics-based finite element procedure to investigate incompressible, free-surface and compressible flows. The fluid dynamics equations are derived from basic thermo-mechanical principles and the multi-dimensional and infinite-directional upstream procedure is developed by combining a finite element discretization of a characteristics-bias system with an implicit Runge-Kutta time integration. For the computational solution of the Euler and Navier Stokes equations, the procedure relies on the mathematics and physics of multi-dimensional characteristics. As a result, the procedure crisply captures contact discontinuities, normal as well as oblique shocks, and generates essentially non-oscillatory solutions for incompressible, subsonic, transonic, supersonic, and hypersonic inviscid and viscous flows.


الكلمات المفتاحية: Engineering / Compressible Flows / Computational Fluid Dynamics / Finite Elements / Free-Surface Flows / Incompressible Flows / Multi-Dimensional, Infinite-Directional Upwind / Reactive Flows / Convection / Fluid dynamics / Fluid mechanics