1. Application of a TVD scheme for incompressible flow simulations
- Author
-
Byeong Shin and Toshiaki Ikohagi
- Subjects
Scheme (programming language) ,Mathematical analysis ,Square duct ,Upwind scheme ,Computer Science::Numerical Analysis ,Stability (probability) ,Mathematics::Numerical Analysis ,Physics::Fluid Dynamics ,Cavity flow ,Rate of convergence ,Incompressible flow ,Compressibility ,computer ,computer.programming_language ,Mathematics - Abstract
This paper shows an application of a TVD upwind scheme to the incompressible flow simulation, and the validity and the effectiveness for this application are investigated by the evaluation of the accuracy, stability and convergence rate. For this investigation, three-dimensional incompressible developing entry flows through a square duct with 90-degree bend and two-dimensional cavity flow are computed by using a generalized implicit SMAC scheme which has been developed by authors to solve the incompressible NavierStokes equations. Numerical predictions from the Chakravarthy-Osher TVD scheme are compared with available experimental data and some computational results by using the QUICK and the third-order upwind schemes. Hence, it is indicated that the TVD scheme has higher efficiency than the other two upwind schemes, without loss of accuracy.
- Published
- 1997
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