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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Well-balanced positivity-preserving high-order discontinuous Galerkin methods for Euler equations with gravitation
引力 欧拉方程 高阶间断 Galerkin方法
2023/11/29
We develop high order discontinuous Galerkin (DG) methods with Lax-Friedrich fluxes for Euler equations under gravitational fields. Such problems may yield steady-state solutions and the density and p...
Nodal Points and the Nonlinear Stability of High-Order Methods for Unsteady Flow Problems on Tetrahedral Meshes
Nodal Points Nonlinear Stability High-Order Methods Unsteady Flow Problems Tetrahedral Meshes
2015/7/3
High-order methods have the potential to efficiently generate accurate solutions to fluid dynamics problems of practical interest. However, high-order methods are less robust than lower-or...
Convergence Acceleration of High Order Numerical Simulations using a Hybrid Spectral Di
Numerical Algorithms Computational Fluid Dynamics Spectral Di
2015/7/3
The goal of this paper is to show how numerical simulations of uid ow using high order methods for unstructured meshes can be sped up using a hybrid multigrid method. In our work we accelerate the ste...
Advances in Bringing High-order Methods to Practical Applications in Computational Fluid Dynamics
Advances Bringing High-order Methods Practical Applications Computational Fluid Dynamics
2015/7/3
Following pioneering research by mathematicians such as Lax and Godunov, the early development of computational uid dynamics (CFD) between 1970 and 1995 was particularly pursued in the Aerospace Commu...
Application of High-Order Energy Stable Flux Reconstruction Schemes to the Euler Equations
High-Order Energy Stable Flux Reconstruction Schemes Euler Equations
2015/7/3
The authors recently identified an infinite range of high-order energy stable flux reconstruction (FR) schemes in 1D and on triangular elements in 2D. The new flux reconstructi...
A High-Order Spectral Difference Method for Fluid-Structure Interaction on Dynamic Deforming Meshes
High-Order Spectral Diff erence Method Fluid-Structure Interaction Dynamic Deforming Meshes
2015/7/3
In previous work by the authors, Spectral Difference Method has been formulated in a framework with time-dependent moving deformable meshes. The framework has also been shown to preserve the des...
Stabilized low-order finite elements for coupled solid-deformation/fluid-diffusion and their application to fault zone transients
Coupled analysis Fault zone Fluid flow Mixed formulation Stabilized finite elements
2015/7/1
Finite element simulations of coupled solid-deformation/fluid-diffusion occurring in earthquake fault zones often require high-fidelity descriptions of the spatial and temporal variations of excess po...
High-Order Numerical Algorithms for Steady and Unsteady Simulation of Viscous Compressible Flow with Shocks
Steady Unsteady Simulation
2015/6/18
Theoretical developments of flux reconstruction method
Unstructured high-order methods
The Flux Reconstruction approach
Energy Stable Flux Reconstruction schemes
Flux Reconstruction as Filtere...
Order-to-disorder transition in ring-shaped colloidal stains
Order-to-disorder transition ring-shaped colloidal stains Fluid Dynamics
2011/8/2
Abstract: A colloidal dispersion droplet evaporating from a surface, such as a drying coffee drop, leaves a distinct ring-shaped stain. Although this mechanism is frequently used for particle self-ass...
Derivation of a second-order model for Reynolds stress using renormalization group analysis and the two-scale expansion technique
Turbulent modeling Renormalization group Two-scale expansion Reynolds stress transport equation Second-order model
2012/2/29
With the two-scale expansion technique proposed by Yoshizawa, the turbulent fluctuating field is expanded around the isotropic field. At a low-order two-scale expansion, applying the mode coupling app...
MEASUREMENTS OF HIGHER-ORDER TURBULENT STATISTICS IN A TURBULENT BOUNDARY LAYER SUBJECTED TO A SHORT ROUGHNESS STRIP
measurements turbulence boundary layer
2009/10/14
Hot-wire measurements have been undertaken in a turbulent boundary layer which is subjected to an impulse in form of a short roughness strip with the aim of determining its effect on turbulence struct...