Implicit Boundary Integral Method for Homogeneous Hele-Shaw Problem with multi-connected Domain

  • irma palupi School of Computing, Telkom University
Abstract views: 216 , PDF downloads: 261

Abstract

In this work, we implement the implicit boundary integral method for a homogeneous Hele-Shaw problem with a multi-connected domain. This method base on the solution of layer potential integral for the Laplace equation. The numerical technique is easy to implement, base on the idea of averaging the parameterization near the boundary and applying the Coarea formula. This technique changes the boundary integral into the Riemann integral that numerically easy to compute. The difficulty in the computation of hypersingular integral occurs to compute the normal velocity of free boundary. We use a collocation technique to eliminate the hypersingular part in the integral equation. Also, we show the numerical results and its computation performance due to the appearance of a non-invertible matrix.

Downloads

Download data is not yet available.
Published
2019-03-22
How to Cite
palupi, irma. (2019). Implicit Boundary Integral Method for Homogeneous Hele-Shaw Problem with multi-connected Domain. Indonesian Journal on Computing (Indo-JC), 4(1), 93-108. https://doi.org/10.21108/INDOJC.2019.4.1.279
Section
Computational and Simulation