Discontinuous Galerkin Method For The Fluid-structure Interaction
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Abstract
The subject of the paper is the brief description of the stability analysis of the space-time discontinuous Galerkin method for the numerical solution of a model nonlinear parabolic problem in a time dependent domain. The analyzed method is used for the solution of compressible flow in a time-dependent domain and interacted with an elastic body, applied to the simulation of vocal fold flow-induced vibrations.
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Feistauer, M., Balázsová, M., & Horáček, J.
(2020).
Discontinuous Galerkin Method For The Fluid-structure Interaction.
Proceedings Of The Conference Algoritmy, , 61 - 70.
Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/algoritmy/article/view/1555/819
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References
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[2] M. Balázsová and M. Feistauer, On the stability of the ALE space-time discontinuous Galerkin method for nonlinear convection-diffusion problems in time-dependent domains, Applied Mathematics, 60 (2015), pp. 501-526.
[3] J. Česenek, M. Feistauer and A Kosı́k, DGFEM for the analysis of airfoil vibrations induced by compressible flow, Z. Angew. Math. Mech., 93 (2013), pp. 387-402.
[4] P. G. Ciarlet, Mathematical Elasticity, Volume I, Three-Dimensional Elasticity, Volume 20 of Studies in Mathematics and its Applications, Elsevier Science Publishers B.V., Amsterdam, 1988.
[5] V. Dolejšı́ and M. Feistauer, Discontinuous Galerkin Method, Analysis and Applications to Compressible Flow, Springer, Cham, 2015.