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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Diffusion limit of the compressible Euler-P1 approximation model arising from radiation hydrodynamics
辐射流体动力学 可压缩欧拉 近似模型 扩散极限
2023/5/8
We first show the nonequilibrium-diffusion limit of the compressible Euler-P1 approximation model arising in radiation hydrodynamics as the Mach number tends to zero when the initial data is well-prep...
Energy Stable Flux Reconstruction Schemes for Advection–Diffusion Problems on Tetrahedra
High-order Unstructured Discontinuous Galerkin Spectral difference Flux reconstruction · Tetrahedra
2015/7/3
The flux reconstruction (FR) methodology provides a unifying description of many high-order schemes, including a particular discontinuous Galerkin (DG) scheme and several spectral difference (SD...
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...
Critical exponents of the pair contact process with diffusion
PCPD universality class critical systems
2012/2/27
We study the pair contact process with diffusion (PCPD) using Monte Carlo simulations, and concentrate on the decay of the particle density $\rho$ with time, near its critical point, which is assumed ...
Abstract: We consider the mean time to absorption by an absorbing target of a diffusive particle with the addition of a process whereby the particle is reset to its initial position with rate $r$. We ...
Gas dynamics in high-luminosity polarized He-3 targets using diffusion and convection
University of Virginia, Charlottesville
2011/8/3
Abstract: The dynamics of the movement of gas is discussed for two-chambered polarized He-3 target cells of the sort that have been used successfully for many electron scattering experiments. A detail...
Diffusion-mediated geminate reactions under excluded volume interactions
Diffusion-mediated geminate reactions excluded volume interactions
2011/9/9
In this paper, influence of crowding by inert particles on the geminate reaction kinetics is theoretically investigated. Time evolution equations for the survival probability of a geminate pair are de...
RADIATION AND CHEMICAL REACTION EFFECTS ON ISOTHERMAL VERTICAL OSCILLATING PLATE WITH VARIABLE MASS DIFFUSION
chemical reaction vertical plate heat and mass transfer
2009/10/14
The unsteady flow of a viscous incompressible flow past an infinite isothermal vertical oscillating plate, in the presence of thermal radiation and homogeneous chemical reaction of first order has bee...
Variable-order fractional differential operators in anomalous diffusion modeling
Anomalous diffusion Variable-order fractional differential order Probability density function Complex medium
2010/10/22
The purpose of this paper is to offer a unified discussion of variable-order differential oper-ators in anomalous diffusion modeling. The characteristics of the new models, in contrast to constant-ord...
This study unveils the time–space transforms underlying anomalous diffusion process. Based on this finding, we present the two hypotheses concerning the effect of fractal time–space fabric on physical...
Application of generalized FDM for numerical solution of non linear thermal diffusion problems
generalized finite difference method non-linear thermal diffusion
2010/3/12
A generalized variant of the finite difference method [2, 3, 4] is used for numerical modelling of non-steady and non-linear thermal diffusion problems. In order to simplify the considerations the 1D ...
A quadratic Petrov-Galerkin formulation for advection-diffusion-reaction problems in turbulence modeling
reaction effects stabilized finite element method turbulence modelling
2010/3/12
A new stabilized FEM formulation for advective-diffusive-reactive problems is presented. The new method, called Spotted Petrov-Galerkin (SPG), combines two perturbations of quadratic Galerkin weight f...
Boundary knot method for 2D and 3D Helmholtz and convection-diffusion problems with complicated geometry
boundary knot method radial basis function non-singular general solution method of fundamental solutions dual reciprocity method boundary element
2010/10/22
The boundary knot method (BKM) of very recent origin is an inherently meshless, integration-free, boundary-type, radial basis function collocation technique for the numerical discretization of general...
Numerical convergence of boundary knot method in the analysis of Helmholtz, modified Helmholtz, and convection-diffusion problems
boundary knot method radial basis function method of fundamental solution meshfree boundary elements
2010/10/22
This paper concerns a numerical study of convergence properties of the boundary knot method (BKM) applied to the solution of 2D and 3D homogeneous Helmholtz, modified Helmholtz, and convection-diffusi...
High-order fundamental and general solutions of convection-diffusion equation and their applications with boundary particle method
High-order fundamental solution High-order general solution Boundary particle method Radial basis function Meshfree Multiple reciprocity-BEM
2010/10/22
In this study, we presented the high-order fundamental solutions and general solutions of convection–diffusion equation. To demonstrate their efficacy, we applied the high-order general solutions to t...