Brandon Gusto

Doctoral student
Dept. of Scientific Computing
Florida State University


resume: bgusto.pdf



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

Research Projects

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.

Numerical schlieren density movie in the Hawley-Zabusky problem. A planar shock wave obliquely strikes a material interface, creating a highly nonlinear instability at the interface which results in the production of vortices and strong mixing.

Log of MR detail coefficients, and corresponding MR-driven AMR mesh (with 6 levels of refinement) for the same problem. Many cells are on finest levels of the mesh due to the AMR structure, but the coefficients are small nearby, inviting the use of interpolation of physics quantities (e.g. fluxes) from coarser levels.


Gusto, B., Plewa, T. (2021). A Hybrid Adaptive Multiresolution Approach for the Efficient Simulation of Reactive Flows. Manuscript submitted for publication.