Journal of Mathematical Techniques and Computational Mathematics(JMTCM)

Department of Mechanical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Iran

Publications

• Research Article   
  Efficient Implementation of an Accurate Algebraic Scheme for Sharp Interface Advection in Multiphase Flows
  Author(s): Mehran Sharifi*
  
  This study presents an efficient algebraic scheme known as MULES for sharp interface advection, verified against various schemes including first-order upwind, second-order central, van Leer flux limiter, and Geometric Volume-of-Fluid (VOF). Two problems involving a droplet in a two-dimensional (2D) vortex and a stationary droplet were examined. The model assessed the effects of the Interface Compression (IC) coefficient, ranging from 0 to 2, analyzing parameters such as Interface Advection Error (IAE) and Mass Conservation Error (MCE). Results indicated that increasing IC values enhanced interface tracking accuracy but introduced non-physical instabilities at higher values, compromising mass conservation. Specifically, the IAE decreased from 4.8% to 3.95% as IC increased from 0 to 2, showing a favorable effect until IC surpassed 1.4, where IAE fluctuated around 4%. Conversely, the MCE.. Read More»
  

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