Finite volume approximation of multidimensional aggregation population balance equation on triangular grid
نویسندگان
چکیده
منابع مشابه
Convergence analysis of a finite volume scheme for solving non-linear aggregation-breakage population balance equations
This paper presents stability and convergence analysis of a finite volume scheme (FVS) for solving aggregation, breakage and the combined processes by showing Lipschitz continuity of the numerical fluxes. It is shown that the FVS is second order convergent independently of the meshes for pure breakage problem while for pure aggregation and coupled equations, it shows second order convergent on ...
متن کاملThe Control-Volume Finite-Difference Approximation to the Diffusion Equation
A two-dimensional computer code for solution of the diffusion equation (Poisson equation) is described. The code is implemented in Matlab, and is intended for educational use. The partial differential equation is converted to a system of linear equations with the finite-volume method. The system is solved by a direct method, though extending the code to use iterative methods would not be diffic...
متن کاملL Theory for the Multidimensional Aggregation Equation
We consider well-posedness of the aggregation equation ∂tu+ div(uv) = 0, v = −∇K ∗ u with initial data in P2(R)∩L(R), in dimensions two and higher. We consider radially symmetric kernels where the singularity at the origin is of order |x|, α > 2−d, and prove local well-posedness in P2(R)∩L(R) for sufficiently large p > ps. In the special case of K(x) = |x|, the exponent ps = d/(d− 1) is sharp f...
متن کاملLp Theory for the Multidimensional Aggregation Equation
We consider well-posedness of the aggregation equation ∂tu + div(uv) = 0, v = −∇K ∗ u with initial data in P2(R)∩L(R), in dimensions two and higher. We consider radially symmetric kernels where the singularity at the origin is of order |x|α , α > 2−d, and prove local well-posedness in P2(R)∩L(R) for sufficiently large p > ps. In the special case of K(x) = |x|, the exponent ps = d/(d−1) is sharp...
متن کاملThe unsteady state finite volume numerical grid technique for multidimensional problems
In this paper numerical technique has been used to solve multidimensional unsteady state heat conduction equation with Dirichlet boundary conditions. We focus on finite volume numerical technique for solution of multidimensional time dependent heat conduction problems. Finally, the efficiency of this technique is tested for some heat conduction problems with known analytical solutions and the n...
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: Mathematics and Computers in Simulation
سال: 2020
ISSN: 0378-4754
DOI: 10.1016/j.matcom.2019.12.009