An extension of the upwind moment scheme to systems of 1-D nonlinear hyperbolic-relaxation equations
نویسندگان
چکیده
The goal of this research is developing a unified numerical method for simulating continuum and transitional flow. To achieve our ultimate goal, first, hyperbolic-relaxation equations are introduced, then a new discretization method is developed. The method is based on Huynh’s upwind moment scheme, with implicit treatment of the source term. Our previous linear method is generalized to 1-D nonlinear hyperbolicrelaxation equations. The Euler equations with heat transfer, which reduce to the isothermal Euler equations in the equilibrium limit, are adopted as a model equation. The numerical results show the superiority of the proposed method over the semi-discrete, method-of-line approach.
منابع مشابه
An Analysis of the Upwind Moment Scheme and Its Extension to Systems of Nonlinear Hyperbolic-Relaxation Equations
The goal of this research is developing a unified numerical method for simulating continuum and transitional flow. To achieve our ultimate goal, first, hyperbolic-relaxation equations are introduced, then a new discretization method is developed. The method is based on Huynh’s upwind moment scheme, with implicit treatment of the source term. Our previous linear method is generalized to 1-D nonl...
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