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

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.

Flux Balancing – Domain Decomposition – Spectral Collocation – Burgers' Equation