An Approximation of a Linear Advection Equation using the Meshfree Method

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Published: Mar 30, 2018
Keywords:
Smoothed Particle Hydrodynamics, Advection equation

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Amorn Koomsubsiri
Department of Mathematics, King Mongkut’s University of Technology Thonburi, Bangkok, Thailand
Dusadee Sukawat*
Department of Mathematics, King Mongkut’s University of Technology Thonburi, Bangkok, Thailand
Suwon Tangmanee
Centre of Excellence in Mathmatics (CEM), Faculty of Science, Mahidol University, Bangkok, Thailand

Abstract

In this paper, a mesh-free method called “Smoothed Particle Hydrodynamics (SPH)” is applied to the linear advection equation. The cubic spline weight function is used to determine the advection field at the nodes from particles in the support domain. After the nodes have been defined, the derivative of the function is approximated from the derivative of the weight function. This is equivalent to finding the changes in distance between nodes. Results obtained from the SPH method are compared with the corresponding exact solutions. Effects of boundary condition are also investigated.


Keywords: Smoothed Particle Hydrodynamics, Advection equation


E-mail: dusadee.suk@kmutt.ac.th

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How to Cite
Koomsubsiri, A., Sukawat*, D., & Tangmanee, S. (2018). An Approximation of a Linear Advection Equation using the Meshfree Method. CURRENT APPLIED SCIENCE AND TECHNOLOGY, 12(2), 111–117. retrieved from https://li01.tci-thaijo.org/index.php/cast/article/view/135732
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Vol. 12 No. 2 (2012)
Section
Original Research Articles

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References

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