Numerical Flow Simulation: Discretization Methods & Fluid Interfaces

Related lectures (29)

Page 2 of 3

Covers the motivation and examples of boundary value problems, the finite difference method, and the approximation of local derivatives.

Explores the Thomas algorithm for tridiagonal systems and the accuracy of direct methods in numerical computations.

Explores boundary value problems, finite difference method, and Joule heating examples in 1D.

Introduces finite element modeling for numerical solutions to complex problems.

Explores numerical methods for flow simulation, including finite element, spectral, particle, and lattice Boltzmann methods.

Focuses on Euler schemes for numerical approximation of forces and velocities.

Introduces the finite difference method for approximating derivatives and solving differential equations in practical applications.

Explores backward and central differences for numerical differentiation, analyzing their properties and error analysis.

Explains finite difference grids for computing solutions of elastic membranes using Laplace's equation and numerical methods.

Explores finite differences formulas, error analysis, and numerical experiments in computational mathematics.