Discretization of 3D Diffusion Equation with Mixed Boundary Conditions
Explore 3D diffusion equation discretization and mixed boundary conditions using the Finite Volume Method. Learn to calculate diffusion coefficients on cell faces.
Finite Volume Method for Diffusion Equation: Steady Diffusion in Unstructured Meshes - Part 1
Explore discretization techniques for steady diffusion equations in non-orthogonal unstructured meshes using the Finite Volume Method.
Finite Volume Method for Diffusion Equation - Tri-Diagonal Matrix Algorithm
Explore diffusion coefficients, solve linear algebraic equations, and master the TDMA algorithm for finite volume methods in diffusion equations.
Approximation of Non-Linear Hyperbolic Problems and Conservation Properties
Explore advanced numerical methods for non-linear hyperbolic problems, focusing on conservation properties and flux formulations in various schemes like finite volume and discontinuous Galerkin.
Multi-scale Modeling of Topology Change in Multiphase Flow Simulations
Explore advanced geometric volume of fluid methods for tracking sub-grid interfacial features in multiphase flow simulations, including physics-based models for topology changes.
Advection-Diffusion Problems on Polygonal Meshes
Explore advanced mathematical techniques for solving advection-diffusion PDEs on polygonal meshes, covering high-order finite elements, WENO methods, and practical applications in geosciences.