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In this review, the methodology of large eddy simulations (LES) is introduced and applications in astrophysics are discussed. As theoretical framework, the scale decomposition of the dynamical equations for compressible neutral fluids by…

星系天体物理 · 物理学 2025-09-09 Wolfram Schmidt-Brückner

Fully implicit Runge-Kutta (IRK) methods have many desirable accuracy and stability properties as time integration schemes, but high-order IRK methods are not commonly used in practice with large-scale numerical PDEs because of the…

数值分析 · 数学 2021-10-07 Ben S. Southworth , Oliver Krzysik , Will Pazner

A new high order accurate semi-implicit space-time Discontinuous Galerkin method on staggered grids, for the simulation of viscous incompressible flows on two-dimensional domains is presented. The designed scheme is of the Arbitrary…

数值分析 · 数学 2020-03-17 Francesco Lohengrin Romeo

We present a high-order discontinuous Galerkin (DG) solver of the compressible Navier-Stokes equations for cloud formation processes. The scheme exploits an underlying parallelized implementation of the ADER-DG method with dynamic adaptive…

计算物理 · 物理学 2020-05-18 Lukas Krenz , Leonhard Rannabauer , Michael Bader

Rotating turbulent flows form a challenging test case for large-eddy simulation (LES). We, therefore, propose and validate a new subgrid-scale (SGS) model for such flows. The proposed SGS model consists of a dissipative eddy viscosity term…

流体动力学 · 物理学 2019-04-30 Maurits H. Silvis , H. Jane Bae , F. Xavier Trias , Mahdi Abkar , Roel Verstappen

High-order Discontinuous Galerkin Spectral Element Methods (DGSEM) provide excellent accuracy for complex flow simulations, but their computational cost increases sharply with higher polynomial orders. %that provide very accurate solutions.…

流体动力学 · 物理学 2025-12-11 Xukun Wang , Oscar A. Marino , Esteban Ferrer

The rational large eddy simulation (RLES) model is applied to turbulent channel flows. This approximate deconvolution model is based on a rational (subdiagonal Pade') approximation of the Fourier transform of the Gaussian filter and is…

数值分析 · 数学 2025-10-20 T. Iliescu , P. Fischer

We present a scalable and efficient iterative solver for high-order hybridized discontinuous Galerkin (HDG) discretizations of hyperbolic partial differential equations. It is an interplay between domain decomposition methods and HDG…

数值分析 · 数学 2016-01-29 Sriramkrishnan Muralikrishnan , Minh-Binh Tran , Tan Bui-Thanh

In recent years several research efforts focused on the development of high-order discontinuous Galerkin (dG) methods for scale resolving simulations of turbulent flows. Nevertheless, in the context of incompressible flow computations, the…

计算物理 · 物理学 2019-05-14 Matteo Franciolini , Lorenzo Botti , Alessandro Colombo , Andrea Crivellini

Large eddy simulation (LES) has become a central technique for simulating turbulent flows in engineering and applied sciences, offering a compromise between accuracy and computational cost by resolving large scale motions and modeling the…

流体动力学 · 物理学 2025-08-27 Rik Hoekstra , Wouter Edeling

This paper is concerned with developing accurate and efficient numerical methods for fully nonlinear second order elliptic and parabolic partial differential equations (PDEs) in multiple spatial dimensions. It presents a general framework…

数值分析 · 数学 2018-01-19 Xiaobing Feng , Thomas Lewis

We present a high-order, sharp-interface method for simulation of two-phase flow of real gases using implicit shock tracking. The method is based on a phase-field formulation of two-phase, compressible, inviscid flow with a trivial mixture…

流体动力学 · 物理学 2025-03-10 Charles Naudet , Brian Taylor , Matthew J. Zahr

In this paper, we first propose a filter-based continuous Ensemble Eddy Viscosity (EEV) model for stochastic turbulent flow problems. We then propose a generic algorithm for a family of fully discrete, grad-div regularized, efficient…

A scheme for the solution of fluid-structure interaction (FSI) problems with weakly compressible flows is proposed in this work. A novel hybridizable discontinuous Galerkin (HDG) method is derived for the discretization of the fluid…

流体动力学 · 物理学 2020-09-14 Andrea La Spina , Martin Kronbichler , Matteo Giacomini , Wolfgang A. Wall , Antonio Huerta

This paper presents a conservative discontinuous Galerkin method for the simulation of supercritical and transcritical real-fluid flows without phase separation. A well-known issue associated with the use of fully conservative schemes is…

流体动力学 · 物理学 2024-10-23 Eric J. Ching , Ryan F. Johnson

In this paper, we develop a class of high-order conservative methods for simulating non-equilibrium radiation diffusion problems. Numerically, this system poses significant challenges due to strong nonlinearity within the stiff source terms…

数值分析 · 数学 2024-01-30 Shaoqin Zheng , Min Tang , Qiang Zhang , Tao Xiong

We present a discrete filter for subgrid-scale (SGS) model, coupled with the discretization corrected particle strength exchange (DC-PSE) method for the simulation of three-dimensional viscous incompressible flow, at high Reynolds flows.…

流体动力学 · 物理学 2024-08-13 Anas Obeidat

The present works is focused on studying bifurcating solutions in compressible fluid dynamics. On one side, the physics of the problem is thoroughly investigated using high-fidelity simulations of the compressible Navier-Stokes equations…

数值分析 · 数学 2022-12-21 Niccolò Tonicello , Andrea Lario , Gianluigi Rozza , Gianmarco Mengaldo

The immersed interface method (IIM) for models of fluid flow and fluid-structure interaction imposes jump conditions that capture stress discontinuities generated by forces that are concentrated along immersed boundaries. Most prior work…

数值分析 · 数学 2025-06-04 Michael J. Facci , Ebrahim M. Kolahdouz , Boyce E. Griffith

In this study, three-dimensional simulations of a reacting hydrogen jet in supersonic crossflow using a structure-preserving discontinuous Galerkin (DG) formulation are examined. The hydrogen jet, with a momentum flux ratio of five, is…

流体动力学 · 物理学 2025-08-13 Cal J. Rising , Eric J. Ching , Ryan F. Johnson