Abstract
Projection based variational multiscale (VMS) methods are a very successful technique in the numerical simulation of high Reynolds number flow problems using coarse discretizations. However, their implementation into an existing (legacy) codes can be very challenging in practice. We propose a second order variant of projection-based VMS method for non-isothermal flow problems. The method adds stabilization as a decoupled post-processing step for both velocity and temperature, and thus can be efficiently and easily used with existing codes. In this work, we propose the algorithm and give numerical results for convergence rates tests and coarse mesh simulation of Marsigli flow.
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Acknowledgements
The author L.R. acknowledges partial support from National Science Foundation Grant NSF DMS1522191.
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Akbas, M., Kaya, S., Rebholz, L. (2016). Numerical Studies on a Second Order Explicitly Decoupled Variational Multiscale Method. In: Karasözen, B., Manguoğlu, M., Tezer-Sezgin, M., Göktepe, S., Uğur, Ö. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2015. Lecture Notes in Computational Science and Engineering, vol 112. Springer, Cham. https://doi.org/10.1007/978-3-319-39929-4_12
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DOI: https://doi.org/10.1007/978-3-319-39929-4_12
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