High order symmetric direct discontinuous Galerkin method for elliptic interface problems with fitted mesh

H Huang, J Li, J Yan - Journal of Computational Physics, 2020‏ - Elsevier
In this article, we aim to develop a high order symmetric direct discontinuous Galerkin
method solving elliptic interface problems with zero or non-zero solution jump and flux jump …

hp-Version direct discontinuous Galerkin method for elliptic problems

Y Shang, H Huang - Journal of Applied Mathematics and Computing, 2023‏ - Springer
In this paper, we study the hp-type error estimate of the direct discontinuous Galerkin (DDG)
method for the second-order elliptic problem. The discrete variational form of the DDG …

Fourier type super convergence study on DDGIC and symmetric DDG methods

M Zhang, J Yan - Journal of Scientific Computing, 2017‏ - Springer
In this paper, using Fourier analysis technique, we study the super convergence property of
the DDGIC (Liu and Yan in Commun Comput Phys 8 (3): 541–564, 2010) and the symmetric …

Analysis and development of adjoint-based h-adaptive direct discontinuous Galerkin method for the compressible Navier–Stokes equations

J Cheng, H Yue, S Yu, T Liu - Journal of Computational Physics, 2018‏ - Elsevier
In this paper, an adjoint-based high-order h-adaptive direct discontinuous Galerkin method
is developed and analyzed for the two dimensional steady state compressible Navier …

A symmetric direct discontinuous Galerkin method for the compressible Navier-Stokes equations

H Yue, J Cheng, T Liu - Communications in Computational Physics, 2017‏ - cambridge.org
In this work, we investigate the numerical approximation of the compressible Navier-Stokes
equations under the framework of discontinuous Galerkin methods. For discretization of the …

Gradient recovery based a posteriori error estimator for the adaptive direct discontinuous Galerkin method

H Cao, Y Huang, N Yi - Calcolo, 2023‏ - Springer
In this paper, we propose a gradient recovery method for the direct discontinuous Galerkin
(DDG) method. A quadratic polynomial is obtain by using the local discrete least-squares …

[PDF][PDF] A direct discontinuous Galerkin method with interface correction for the compressible Navier-Stokes equations on unstructured grids

J Cheng, H Yue, S Yu, T Liu - Adv. Appl. Math. Mech., 2018‏ - scholar.archive.org
Since the original DDG method has been introduced by Liu et al.[8] in 2009, a variety of
DDG type methods have been proposed and further developed. In this paper, we further …

Coupling of direct discontinuous Galerkin method and natural boundary element method for exterior interface problems with curved elements

B Siyu, H Hongying - Advances in Computational Mathematics, 2023‏ - Springer
This paper presents the coupling method of direct discontinuous Garlekin (DDG) and natural
boundary element (NBE) for exterior interface problem. The coupled DDG method is based …

Parameter estimation of a thermal fluid system

JA Burns, EM Cliff, TL Herdman - 2018 Annual American …, 2018‏ - ieeexplore.ieee.org
In this paper we consider the problems of parameter estimation for a counter flow heat
exchanger. The problem is complicated when convection dominates the heat transfer so that …

基于 A 柱后视镜车内气动噪声数值模拟与预测

唐荣江, 胡宾飞, 张淼, 陆增俊, 肖飞, 赖凡 - 汽车工程, 2020‏ - qichegongcheng.com
针对后视镜引起的前侧窗与车内气动噪声问题, 采用计算流体力学(CFD) 方法对某商用车进行车
外后视镜区域数值模拟和车内噪声预测的研究. 稳态分析采用RANS 模型中SST (Menter) k-ω …