Dept. of Scientific Computing
Florida State University
I am a doctoral student in the Department of Scientific Computing at FSU, with a background in mechanical engineering and applied mathematics. I am working to develop efficient numerical methods for the simulation of reactive flows.
Adviser: Dr. Tomasz Plewa
Hybrid adaptive multiresolution approach
Computational studies that use block-structured adaptive mesh refinement (AMR) approaches suffer from unnecessarily high mesh resolution in regions immediately adjacent to important solution features. This deficiency may be a major factor limiting the performance of AMR codes. In this work a novel hybrid adaptive multiresolution (HAMR) approach to AMR-based calculations is introduced to address this issue. The multiresolution (MR) smoothness indicators are used not only to adapt the mesh, but also to decrease the computational cost of individual physics solvers in regions identified as smooth by replacing direct calculations with MR interpolation according to prespecified accuracy constraints. The accuracy of this procedure is shown to be consistent with that of the MR-driven AMR. The performance of the HAMR scheme is demonstrated for a range of test problems, from one-dimensional hydrodynamics to multidimensional turbulent combustion.
Gusto, B., Plewa, T. (2021). A Hybrid Adaptive Multiresolution Approach for the Efficient Simulation of Reactive Flows. Manuscript submitted for publication.