A High Order Numerical Scheme for Incompress ible Navier-Stokes Equations

Authors

  • H Khurshid Department of Aerospace Engineering, Wichita State University, Wichita, Kansas, 67260-0044, USA
  • K.A. Hoffmann Department of Aerospace Engineering, Wichita State University, Wichita, Kansas, 67260-0044, USA

Abstract

To solve the incompressible Navier-Stokes equations in a generalized coordinate system, a high order solver is presented. An exact projection method/fractional-step scheme is used in this study. Convective terms of the Navier-Stokes (N-S) equations are solved using fifth-order WENO spatial operators, and for the diffusion terms, a sixth-order compact central difference scheme is employed. The third-order Runge-Kutta (R-K) explicit time-integrating scheme with total variation diminishing (TVD) is adopted for the unsteady flow computations. The advantage of using a WENO scheme is that it can resolve applications using less number of grid points. Benchmark cases such as, driven cavity flow, Taylor-Green (TG) vortex, double shear layer, backward-facing step, and skewed cavity are used to investigate the accuracy of the scheme for two dimensional flow.

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How to Cite

Khurshid, H., & Hoffmann, K. (2015). A High Order Numerical Scheme for Incompress ible Navier-Stokes Equations. Journal of Mechanical Engineering and Technology (JMET), 5(2). Retrieved from https://jmet.utem.edu.my/jmet/article/view/318

Issue

Vol. 5 No. 2

Section

Others

License

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