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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Mixing flow and advection-diffusion-reaction equations
混合流 平流 扩散反应方程
2023/5/18
In the study of incompressible fluid, one fundamental phenomenon that arises in a wide variety of application is dissipation enhancement by so-called mixing flow. In this talk, I will give a brief int...
Steady advection–diffusion around finite absorbers in two-dimensional potential flows
Steady advection–diffusion finite absorbers two-dimensional potential flows
2015/10/16
We consider perhaps the simplest non-trivial problem in advection–diffusion – a finite absorber of arbitrary cross-section in a steady two-dimensional potential flow of concentrated fluid. This proble...
Reconstruction of vector fields for semi-Lagrangian advection on unstructured, staggered grids
Interpolation Vector fields Unstructured Staggered grids Semi-Lagrangian advection
2015/6/30
Applying the semi-Lagrangian method to discretize the advection of momentum eliminates the Courant number constraint associated with explicit Eulerian momentum advection in coastal ocean models. Key s...
A Third-Order Scheme for Numerical Fluxes to Guarantee Non-Negative Coefficients for Advection-Diffusion Equations
Numerical Scheme, Numerical Analysis, Numerical Stability, Positivity Condition, Advection-Diffusion Equation, Advection Equation, High-Order Scheme, Godunov Theorem, Burgers’ Equation
2013/1/30
According to Godunov theorem for numerical calculations of advection equations, there exist no high-er-order schemes with constant positive difference coefficients in a family of polynomial schemes wi...
Holder estimates for advection fractional-diffusion equations
Holder estimates advection fractional-diffusion equations
2010/12/14
We analyse conditions for an evolution equation with a drift and fractional diffusion to have a H¨older continuous solution. In case the diffusion is of order one or more, we obtain H¨older estimates ...
Solving one-dimensional advection-dispersion with reaction using some finite-difference methods
Advection Dispersion Finite-difference
2010/9/14
In this paper we have solved the one-dimensional advection-dispersion equation with reaction using some finite-difference methods, namely, FTCS used by B.Ataie-Ashtiani et al. (1996), (we call it FTCS...