The discontinuous Galerkin (DG) method is widely being used to solve hyperbolic partial
differential equations (PDEs) due to its ability to provide high-order accurate solutions in …

Fully compressible turbulent convection beyond the Oberbeck-Boussinesq limit and
anelastic regime is studied in three-dimensional numerical simulations. Superadiabaticity ε …

Next-generation exascale machines with extreme levels of parallelism will provide massive
computing resources for large scale numerical simulations of complex physical systems at …

The asynchronous computing method based on finite-difference schemes has shown
promise in significantly improving the scalability of time-dependent partial differential …

The so-called von Neumann analysis is a well-established approach used for stability
analysis of numerical methods. The crux of this analysis is to bound the amplification factor …

The discontinuous Galerkin (DG) method has been widely considered in recent years to
develop scalable flow solvers for its ability to handle discontinuities, such as shocks and …

View Video Presentation: https://doi. org/10.2514/6.2022-4165. vid Massively parallel
simulations based on discontinuous-Galerkin (DG) PDE solvers often show poor scalability …

Our understanding of turbulence has heavily relied on high-fidelity Direct Numerical
Simulations (DNS) that resolve all dynamically relevant scales. But because of the inherent …

Compressible turbulence and turbulent mixing play a critical role in diverse systems ranging
from engineering devices to astrophysics. Examples include high-speed scram jets …