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Numerical Computations For Pde Models Of Rocket Exhaust Flow In Soil, Brian Brennan
Numerical Computations For Pde Models Of Rocket Exhaust Flow In Soil, Brian Brennan
Electronic Theses and Dissertations
We study numerical methods for solving the nonlinear porous medium and Navier-Lame problems. When coupled together, these equations model the flow of exhaust through a porous medium, soil, and the effects that the pressure has on the soil in terms of spatial displacement. For the porous medium equation we use the Crank-Nicolson time stepping method with a spectral discretization in space. Since the Navier-Lame equation is a boundary value problem, it is solved using a finite element method where the spatial domain is represented by a triangulation of discrete points. The two problems are coupled by using approximations of solutions …