The Influence of Limiters on Davis-Yee and Harten-Yee TVD Schemes

Siti Aisyah Alimuddin; Iman Fitri  Ismail; Akmal Nizam Mohammed; Bambang Basuno

doi:10.37934/cfdl.14.9.1531

Authors

Siti Aisyah Alimuddin Aerodynamics and Propulsion Research Group, Universiti Tun Hussein Onn Malaysia, 86400 Parit Raja, Batu Pahat, Johor, Malaysia
Iman Fitri Ismail Aerodynamics and Propulsion Research Group, Universiti Tun Hussein Onn Malaysia, 86400 Parit Raja, Batu Pahat, Johor, Malaysia
Akmal Nizam Mohammed Combustion Research Group, Universiti Tun Hussein Onn Malaysia, 86400 Parit Raja, Batu Pahat, Johor, Malaysia
Bambang Basuno Aerodynamics and Propulsion Research Group, Universiti Tun Hussein Onn Malaysia, 86400 Parit Raja, Batu Pahat, Johor, Malaysia

DOI:

https://doi.org/10.37934/cfdl.14.9.1531

Keywords:

Euler solver, TVD scheme, shock wave

Abstract

TVD schemes have many selections of limiters, but the recommendation of limiters for specific cases is not available in the literature. This study focuses on incorporating two flux limiters as the extension of the TVD schemes proposed by Harten-Yee and Davis-Yee and extends the test case on external flows, blunt-body. The method used in this study is Harten-Yee Upwind TVD and Davis-Yee Symmetric TVD scheme with different limiter functions to simulate cases for two-dimensional compressible flow. The results show that all the limiter functions can capture shock waves when the flow passes through the geometry at Mach number . The flow features such as bow shock, oblique shock, shock wave reflection, interaction, and expansion wave can all be captured in the case of the bump in a channel and wedge. While in the case of the external supersonic flow passing through the blunt-body, the presence of a bow shock was captured. We discovered that Davis-Yee limiter number 2 performs significantly better than other proposed Davis-Yee and Harten-Yee limiters for the case in this study. Therefore, the Davis-Yee Upwind TVD method is recommended to be applied for the identical case on the expansion of this study

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Author Biographies

Siti Aisyah Alimuddin, Aerodynamics and Propulsion Research Group, Universiti Tun Hussein Onn Malaysia, 86400 Parit Raja, Batu Pahat, Johor, Malaysia

aisyahalimuddin1@gmail.com

Iman Fitri Ismail, Aerodynamics and Propulsion Research Group, Universiti Tun Hussein Onn Malaysia, 86400 Parit Raja, Batu Pahat, Johor, Malaysia

ifitri.ismail@gmail.com

Akmal Nizam Mohammed, Combustion Research Group, Universiti Tun Hussein Onn Malaysia, 86400 Parit Raja, Batu Pahat, Johor, Malaysia

akmaln@uthm.edu.my

Bambang Basuno, Aerodynamics and Propulsion Research Group, Universiti Tun Hussein Onn Malaysia, 86400 Parit Raja, Batu Pahat, Johor, Malaysia

bambangb@uthm.edu.my

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