Scaling laws and convergence for the advection-diffusion equation
نویسندگان
چکیده
منابع مشابه
Galerkin Method for the Numerical Solution of the Advection-Diffusion Equation by Using Exponential B-splines
In this paper, the exponential B-spline functions are used for the numerical solution of the advection-diffusion equation. Two numerical examples related to pure advection in a finitely long channel and the distribution of an initial Gaussian pulse are employed to illustrate the accuracy and the efficiency of the method. Obtained results are compared with some early studies.
متن کاملEntropy scaling laws for diffusion.
2 /8ρσ the Enskog and Boltzmann diffusion coefficients [3], χ the contact value of the pair correlation function, se the excess entropy per particle, and A = 2.5. Using the excess entropy se/kB = −(4η − 3η )/(1 − η) and contact value χ = (2 − η)/2(1 − η) given by the Carnahan-Starling equation of state [4] (η = πρσ/6 packing fraction), we test this relation against the molecular dynamics simula...
متن کاملPreconditioned Generalized Minimal Residual Method for Solving Fractional Advection-Diffusion Equation
Introduction Fractional differential equations (FDEs) have attracted much attention and have been widely used in the fields of finance, physics, image processing, and biology, etc. It is not always possible to find an analytical solution for such equations. The approximate solution or numerical scheme may be a good approach, particularly, the schemes in numerical linear algebra for solving ...
متن کاملA Bound on Mixing Efficiency for the Advection–Diffusion Equation
An upper bound on the mixing efficiency is derived for a passive scalar under the influence of advection and diffusion with a body source. For a given stirring velocity field, the mixing efficiency is measured in terms of an equivalent diffusivity, which is the molecular diffusivity that would be required to achieve the same level of fluctuations in the scalar concentration in the absence of st...
متن کاملLattice Boltzmann method for the fractional advection-diffusion equation.
Mass transport, such as movement of phosphorus in soils and solutes in rivers, is a natural phenomenon and its study plays an important role in science and engineering. It is found that there are numerous practical diffusion phenomena that do not obey the classical advection-diffusion equation (ADE). Such diffusion is called abnormal or superdiffusion, and it is well described using a fractiona...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Annals of Applied Probability
سال: 1998
ISSN: 1050-5164
DOI: 10.1214/aoap/1028903445