Monotonic second-order difference scheme for hyperbolic systems with two independent variables
Abstract
Consideration is given to the equations of one-dimensional unsteady gas dynamics for hyperbolic systems with two independent variables. A modified Godunov scheme is proposed which, while conserving monotonicity, increases to second order the approximation of the differential operator and reduces the smearing of the contact discontinuities and low-intensity shocks.
- Publication:
-
Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki
- Pub Date:
- August 1983
- Bibcode:
- 1983ZVMMF..23..848K
- Keywords:
-
- Computational Fluid Dynamics;
- Discontinuity;
- Finite Difference Theory;
- Hyperbolic Differential Equations;
- Monotone Functions;
- Unsteady Flow;
- Flow Equations;
- Independent Variables;
- Nonuniform Flow;
- One Dimensional Flow;
- Shock Discontinuity;
- Fluid Mechanics and Heat Transfer