Second-order explicit finite-difference methods for transient-flow analysis
Abstract
Three second-order accurate numerical methods - MacCormack's method, Lambda scheme and Gabutti scheme - are introduced to solve the quasi-linear, hyperbolic partial differential equations describing transient flows in closed conduits. The details of these methods and the treatment of boundary conditions are presented and the results computed by using these methods for a typical piping system are compared. It is shown that for the same accuracy, second-order methods require considerably lesser number of computational nodes and computer time as compared to those required by the first-order methods.
- Publication:
-
IN: Numerical methods for fluid transient analysis; Proceedings of the Applied Mechanics
- Pub Date:
- 1983
- Bibcode:
- 1983nmft.proc....9C
- Keywords:
-
- Computational Fluid Dynamics;
- Finite Difference Theory;
- Flow Equations;
- Transient Pressures;
- Hyperbolic Differential Equations;
- Partial Differential Equations;
- Fluid Mechanics and Heat Transfer