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A Massively Parallel Hybridizable Discontinuous Galerkin Solver for Direct Numerical Simulation of Compressible Flows on GPUs
Andrew Welter, Thea Collin, Ngoc Cuong Nguyen +1
Direct numerical simulation (DNS) of compressible transitional and turbulent flows requires numerical methods that combine high-order accuracy, robustness, and computational effici…
Preconditioning Techniques for Hybridizable Discontinuous Galerkin Discretizations on GPU Architectures
Andrew Welter, Ngoc Cuong Nguyen
We present scalable iterative solvers and preconditioning strategies for Hybridizable Discontinuous Galerkin (HDG) discretizations of partial differential equations (PDEs) on graph…
Generative Reduced Basis Method
Ngoc Cuong Nguyen
We present a generative reduced basis (RB) approach to construct reduced order models for parametrized partial differential equations. Central to this approach is the construction…
High-order empirical interpolation methods for real time solution of parametrized nonlinear PDEs
Ngoc Cuong Nguyen
We present novel model reduction methods for rapid solution of parametrized nonlinear partial differential equations (PDEs) in real-time or many-query contexts. Our approach combin…
First-order empirical interpolation method for real-time solution of parametric time-dependent nonlinear PDEs
Ngoc Cuong Nguyen
We present a model reduction approach for the real-time solution of time-dependent nonlinear partial differential equations (PDEs) with parametric dependencies. The approach integr…