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Time-Space Adaptive Method of Time Layers for the Advective Allen-Cahn Equation
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Date
2015-09-18
Author
UZUNCA, MURAT
Karasözen, Bülent
Sariaydin-Filibelioglu, Ayse
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We develop an adaptive method of time layers with a linearly implicit Rosenbrock method as time integrator and symmetric interior penalty Galerkin method for space discretization for the advective Allen-Cahn equation with nondivergence-free velocity fields. Numerical simulations for convection dominated problems demonstrate the accuracy and efficiency of the adaptive algorithm for resolving the sharp layers occurring in interface problems with small surface tension.
Subject Keywords
Discontinuous galerkin methods
URI
https://hdl.handle.net/11511/31842
DOI
https://doi.org/10.1007/978-3-319-39929-4_18
Conference Name
European Conference on Numerical Mathematics and Advanced Applications (ENUMATH)
Collections
Graduate School of Applied Mathematics, Conference / Seminar
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M. UZUNCA, B. Karasözen, and A. Sariaydin-Filibelioglu, “Time-Space Adaptive Method of Time Layers for the Advective Allen-Cahn Equation,” Middle E Tech Univ, Inst Appl Math, Ankara, TURKEY, 2015, vol. 112, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/31842.