A GPU accelerated discontinuous Galerkin incompressible flow solver

GPU Acceleration of a High-Order Discontinuous Galerkin Incompressible Flow Solver

We present a GPU-accelerated version of a high-order discontinuous Galerkin discretization of the unsteady incompressible Navier–Stokes equations. The equations are discretized in time using a semi-implicit scheme with explicit treatment of the nonlinear term and implicit treatment of the split Stokes operators. The pressure system is solved with a conjugate gradient method together with a full...

A Gpu Accelerated Discontinuous Galerkin Approach to Conservative Level Sets

We present a GPU-accelerated, arbitrary-order, nearly quadrature-free, Runge-Kutta (RK) discontinuous Galerkin (DG) approach to interface capturing for atomizing multiphase flows via the conservative level set (CLS) method [3, 4]. An arbitrary-order DG numerical method is utilized for both advection and reinitialization, further developing the ideas of [1] by implementing a quadrature-free appr...

A Discontinuous Petrov-Galerkin Methodology for Incompressible Flow Problems

A Discontinuous Galerkin Solver for Front Propagation

We propose a new discontinuous Galerkin method based on [Y. Cheng and C.-W. Shu, J. Comput. Phys., 223 (2007), pp. 398–415] to solve a class of Hamilton–Jacobi equations that arises from optimal control problems. These equations are connected to front propagation problems or minimal time problems with nonisotropic dynamics. Several numerical experiments show the relevance of our method, in part...

Discontinuous Galerkin Solver for Boltzmann-Poisson Transients

We present results of a discontinuous Galerkin scheme applied to deterministic computations of the transients for the Boltzmann-Poisson system describing electron transport in semiconductor devices. The collisional term models optical-phonon interactions which become dominant under strong energetic conditions corresponding to nano-scale active regions under applied bias. The proposed numerical ...