In computational aeroacoustics (CAA) simulations, discontinuous Galerkin space discretization (DG) in conjunction with Runge-Kutta time integration (RK), which is so called Runge-Kutta discontinuous Galerkin method (RKDG), has been an attractive alternative to the finite difference based high-order numerical approaches. However, when it comes to complex physical problems, especially the ones in...

This paper presents an implementation and a comparison of two spatial discretisation schemes over hexagonal geometry for the two-dimensional discrete ordinates transport equation. The methods are high-order Discontinuous Galerkin (DG) finite element scheme Diamond Differencing (DD) scheme. DG method has been, is being, studied on geometry, also called honeycomb mesh – but not DD method. In this...

This paper presents a multi‐dimensional high‐order discontinuous Galerkin (DG) method in an arbitrary Lagrangian‐Eulerian (ALE) formulation to simulate flows over variable domains with moving and deforming meshes. It is an extension of the gas‐kinetic DG method proposed by the authors for static domains (X. Ren et al., A multi‐dimensional high‐order discontinuous Galerkin method based on gas ki...

Abstract In this paper, we propose a new type of weighted essentially non-oscillatory (WENO) limiter, which belongs to the class of Hermite WENO (HWENO) limiters, for the RungeKutta discontinuous Galerkin (RKDG) methods solving hyperbolic conservation laws. This new HWENO limiter is a modification of the simple WENO limiter proposed recently by Zhong and Shu [32]. Both limiters use information ...

A time-domain numerical modeling of Biot poroelastic waves is presented. The viscous dissipation occurring in the pores is described using the dynamic permeability model developed by Johnson-Koplik-Dashen (JKD). Some of the coefficients in the Biot-JKD model are proportional to the square root of the frequency: in the time-domain, these coefficients introduce order 1/2 shifted fractional deriva...

Objective To compare the relative human abuse potential of intact and manipulated morphine abuse-deterrent, extended-release injection-molded tablets (morphine-ADER-IMT) with that of marketed morphine sulfate ER tablets. Methods This randomized, double-blind, triple-dummy, active- and placebo-controlled, 4-way crossover, single-center study included adult volunteers who were experienced, nond...

Various superconvergence properties of discontinuous Galerkin (DG) and local DG (LDG) methods for linear hyperbolic and parabolic equations have been investigated in the past. Due to these superconvergence properties, DG and LDG methods have been known to provide good wave resolution properties, especially for long time integrations [26]. In this paper, under the assumption of uniform mesh and ...

Various superconvergence properties of discontinuous Galerkin (DG) and local DG (LDG) methods for linear hyperbolic and parabolic equations have been investigated in the past. Due to these superconvergence properties, DG and LDG methods have been known to provide good wave resolution properties, especially for long time integrations [26]. In this paper, under the assumption of uniform mesh and ...

The turbulent flow over the DrivAer fastback model is here investigated with an order-adaptive discontinuous Galerkin (DG) method. growing need of high-fidelity simulations for accurate determination problems, e.g., vehicle aerodynamics, promoted research on models and methods to improve computational efficiency bring practice Scale Resolving Simulations (SRS), like large-eddy simulation (LES),...

In this paper, we construct a second order fast sweeping method with a discontinuous Galerkin (DG) local solver for computing viscosity solutions of a class of static Hamilton-Jacobi equations, namely the Eikonal equations. Our piecewise linear DG local solver is built on a DG method developed recently [Y. Cheng and C.-W. Shu, A discontinuous Galerkin finite element method for directly solving ...