Adaptive Finite Element Solution Algorithm for the Euler Equations by Richard A. Shapiro
Adaptive Finite Element Solution Algorithm for the Euler Equations (Notes on Numerical Fluid Mechanics and Multidisciplinary Design) by Richard A. Shapiro
English | Jan 1, 1991 | ISBN: 3528076321 | 179 Pages | PDF | 5 MB
English | Jan 1, 1991 | ISBN: 3528076321 | 179 Pages | PDF | 5 MB
This monograph is the result of my PhD thesis work in Computational Fluid Dynamics at the Massachusettes Institute of Technology under the supervision of Professor Earll Murman. A new finite element al gorithm is presented for solving the steady Euler equations describing the flow of an inviscid, compressible, ideal gas. This algorithm uses a finite element spatial discretization coupled with a Runge-Kutta time integration to relax to steady state. It is shown that other algorithms, such as finite difference and finite volume methods, can be derived using finite element principles. A higher-order biquadratic approximation is introduced.