Explicit Flux Balancing Domain Decomposition for Spectral Collocations: Basics and 1D Applications
Publish place: The 8th Conference of Iranian Aerospace Society
Publish Year: 1388
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
AEROSPACE08_090
تاریخ نمایه سازی: 5 شهریور 1388
Abstract:
A non-overlapping multidomain spectral collocation method for partial differential equations is developed. Using domain partitioning, geometrical flexibility and decrease in computational cost within global spectral approximation is achieved by an explicit flux balancing at sub-domain interfaces. While retaining high-order accuracy and simplicity, it is shown that this interface condition allows steep gradients in the solution near regions with discountinuties like shocks without any post-processing or filtering.
Keywords:
Flux Balancing – Domain Decomposition – Spectral Collocation – Burgers' Equation
Authors
Kazem Hejranfar
Associate Professor, Aerospace Engineering Department, Sharif University of Technology, Tehran, Iran
Vahid Esfahanian
Profossor, Mechanical Engineering Department, Faculty of Engineering, University of Tehran. Tehran, Iran
Mehdi Najafi
PhD Candidate, Aerospace Engineering Department, Sharif University of Technology, Tehran, Iran