Page 59 - programme book

FD-002
Hybrid Method in Simulating Stationary Shock Problem

N.F. Khainunnizam 1, a) and N. Wahi 2, b)

1,2 Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia,
43400 UPM Serdang, Selangor, Malaysia.

a) farahizzati1516@gmail.com
b) Corresponding author: nadihah@upm.edu.my

Abstract. In this project, we want to find out if we can omit the anomalous behavior in simulation of
high-speed flow over a blunt body using Lattice Boltzmann method (LBM) in corroboration with Roe
flux scheme from shock capturing method, while retaining the correct physical properties of the flow.
The objective of this project is to correctly simulate the solution of high-speed flow in normal shock
whenever each scheme will take advantage. Previously we used D1Q3 model to simulate on a 1D shock
problem at shock location whereas Roe’s flux scheme was used at other locations. The significant
finding is the oscillation near the discontinuity was removed. For higher dimension, we used still the
same one-dimensional model with respect to each respective direction.

Keywords: FV-LBM, shock instability, shock capturing method, Roe’s flux scheme.

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