Edge-Based Finite Element Modeling of Magnetogasdynamic- Based Propulsion Systems

摘要

The paper presents an edge-based finite element method formulation for the coupled magnetohydrodynamic equations used for the simulation of magnetogasdynamic propulsion systems. The flow is modeled by the Reynolds averaged Navier Stokes equations along with the electromagnetic Lorentz force and joule heating resulting front the magnetic/electric interactions represented by source terms, whereas the electromagnetic phenomena are modeled through the magnetic induction equation. Turbulence is treated through the one-equation Spalart Al['tiaras model. Both the flow and the electromagnetic problems are transformed into their pseudo-unsteady forms, and a segregated solution strategy is employed for the coupled system. The algebraic systems are solved by applying the generalized minimum residual with an incomplete lower upper factorization as a right preconditioner. After using the Hartmann flow as a validation test, results have been obtained for an magnetohydrodynamic converging channel accelerator, a two-dimensional inviscid flow in a scramjet, and a three-dimensional viscous flow in the same scramjet. The numerical results are compared against published numerical ones and show good agreement.