Time-Space Adaptive Method of Time Layers for the Advective Allen-Cahn Equation

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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)

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Graduate School of Applied Mathematics, Conference / Seminar

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Citation Formats

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.