Journal of Ocean, Mechanical and Aerospace -science and engineering- (JOMAse)
Vol 68 No 3 (2024): Journal of Ocean, Mechanical and Aerospace -science and engineering- (JOMAse)

Simple Implementation of 1D TVD Scheme for 2D Triangular Finite Volume

Tasri, Adek (Unknown)

Article Info

Publish Date
30 Nov 2024

Abstract

In this paper a simple implementation of 1D TVD scheme to 2D triangular grid was proposed and sufficient condition for oscillation free solution of advection equation were found using monotone advective K-approximation. The approach was implemented to Superbee and Smart limiter and compared to Barth and Jespersen (BJ) scheme by using the schemes to well known classic case of advection of step and double step of scalar properties. Result indicated that all of the computed solutions are monotone and, apart from highly diffusive first order solution, they show similar level accuracy for test cases. Superbee limiter gives the best performance and follow by Smart limiter and BJ scheme.

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Journal Info
Journal of Ocean, Mechanical and Aerospace -science and engineering- (JOMAse)
Website

Abbrev

jomase

Publisher

Universitas Riau

Subject

Aerospace Engineering Decision Sciences, Operations Research & Management Engineering Industrial & Manufacturing Engineering Mechanical Engineering

Description

The mission of the JOMAse is to foster free and extremely rapid scientific communication across the world wide community. The JOMAse is an original and peer review article that advance the understanding of both science and engineering and its application to the solution of challenges and complex ...