| dr Piotr Krzyżanowski |
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Promotor prac doktorskich
| 1. | 2021-05-27 pomocniczy | Wichrowski Michał  | Fluid-structure interaction problems: velocity-based formulation and monolithic computational methods | 1266 |
Ostatnie publikacje
| 1. | Wichrowski M.♦, Krzyżanowski P.♦, Heltai L.♦, Stupkiewicz S., Exploiting high-contrast Stokes preconditioners to efficiently solve incompressible fluid-structure interaction problems, INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, ISSN: 0029-5981, DOI: 10.1002/nme.7350, Vol.124, pp.5446-5470, 2023 Streszczenie: In this work, we develop a new algorithm to solve large-scale incompressible time-dependent fluid-structure interaction problems using a matrix-free finite element method in arbitrary Lagrangian–Eulerian frame of reference. We derive a semi-implicit time integration scheme which improves the geometry-convective explicit scheme for problems involving the interaction between incompressible hyperelastic solids and incompressible fluids. The proposed algorithm relies on the reformulation of the time-discrete problem as a generalized Stokes problem with strongly variable coefficients, for which optimal preconditioners have recently been developed. The resulting algorithm is scalable, optimal, and robust: we test our implementation on model problems that mimic classical Turek-Hron benchmarks in two and three dimensions, and investigate timing and scalability results. Słowa kluczowe: arbitrary Lagrangian-Eulerian, finite element method, fluid-structure interaction, geometric multigrid, matrix-free method, monolithic scheme Afiliacje autorów:
| | 200p. | ||||||||||||
| 2. | Wichrowski M., Krzyżanowski P.♦, A matrix-free multilevel preconditioner for the generalized Stokes problem with discontinuous viscosity, Journal of Computational Science, ISSN: 1877-7503, DOI: 10.1016/j.jocs.2022.101804, Vol.63, No.101804, pp.1-12, 2022 Streszczenie: In this paper we present a matrix-free multilevel solver for the generalized Stokes problem with discontinuous viscosity. The algorithm is based on the FGMRES iteration preconditioned with a block-smoothed multigrid method. Numerical experiments on unstructured grids indicate that for a broad range of smoother parameters, the convergence speed is only weakly dependent on both the number of unknowns and the jumps of the viscosity coefficient. Słowa kluczowe: Stokes problem, Discontinuous coefficients, Multigrid, Matrix-free, Parallel computing Afiliacje autorów:
| | 100p. |