PurposeThis paper aims to consider numerical simulation for radionuclide transport calculations in geological radioactive waste repository.Design/methodology/approachThe nonlinear two-point flux approximation is used to discretize the diffusion flux and has a fixed stencil. The cell-vertex unknowns are applied to define the auxiliary unknowns and can be interpolated by the cell-centered unknowns. The approximation of convection flux is based on the second-order upwind method with a slope limiter.FindingsNumerical results illustrate that the positivity-preserving is satisfied in solving this convection-diffusion system and has a second-order convergence rate on the distorted meshes.Originality/valueA new positivity-preserving nonlinear finite volume scheme is proposed to simulate the far-field model used in the geological radioactive waste repository. Numerical results illustrate that the positivity-preserving is satisfied in solving this convection-diffusion system and has a second-order convergence rate on the distorted meshes.
International Journal of Numerical Methods for Heat & Fluid Flow – Emerald Publishing
Published: Aug 19, 2019
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