THE NAVIER-STOKES-CONTINUITY EQUATION SOLVER BASED ON ARTIFICIAL COMPRESSIBILITY METHOD

Bahrul Jalaali

Submitted : 2019-12-11, Published : 2020-03-05.

Abstract

Fluid dynamics analysis can be accurately approximated by using a computer-based numerical method. Rely on the mass and momentum governing equation, the mathematics model for the compressible condition is numerically difficult to overcome. Through an artificial compressibility method, the quasi-compressible condition solution can be simplified. This study will investigate the classical lid-driven cavity case model to affirm the artificial compressibility method. The result shows that the current model is in-line with the previous study for the lid-driven cavity case. A conventional benchmark with the previous numerical study is shown as well.

Keywords

Fluid dynamics, artificial compressibility, computational, lid-driven cavity.

Full Text:

PDF

References

Ghia, U. K. N. G., Ghia, K. N., & Shin, C. T. (1982). High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method. Journal of computational physics, 48(3), 387-411.

Harlow, F. H., & Welch, J. E. (1965). Numerical calculation of time‐dependent viscous incompressible flow of fluid with free surface. The physics of fluids, 8(12), 2182-2189.

Patankar, S. V. (1980). Numerical Heat Transfer and Fluid Flow (Series in Computation and Physical Processes in Mechanics and Thermal Sciences).

Kwak, D., & Kiris, C. C. (2011). Computation of Viscous Incompressible Flows. Scientific Computation

Loppi, N. A., Witherden, F. D., Jameson, A., & Vincent, P. E. (2018). A high-order cross-platform incompressible Navier–Stokes solver via artificial compressibility with application to a turbulent jet. Computer Physics Communications, 233, 193-205.

Rouzbahani, F., & Hejranfar, K. (2017). A truly incompressible smoothed particle hydrodynamics based on artificial compressibility method. Computer Physics Communications, 210, 10-28.

Prosperetti, A. (2007). Coupled methods for multi-fluid models. In Computational Methods for Multiphase Flow. Cambridge University Press.

Hoffmann, K. A., & Chiang, S. T. (2000). Computational fluid dynamics volume I. Engineering Education System.

Article Metrics

Abstract view: 657 times
Download     : 274   times

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Refbacks

  • There are currently no refbacks.