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Lecture
Time Integration: Unsteady Simulation Methods
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Related lectures (29)
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Fluid Dynamics: Differential Conservation Laws and Equations
Covers the differential approach to fluid dynamics, focusing on conservation laws and the Cauchy stress tensor.
Zero-stability and absolute-stability
Explores zero-stability and absolute-stability in numerical methods, including Forward Euler, Backward Euler, Crank-Nicolson, and Heun's methods.
Euler Forward Method
Introduces the Euler Forward Method for ODEs, focusing on error analysis and stability.
Numerical Methods for Boundary Value Problems
Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.
Multiphysics Coupling
Explores multiphysics coupling, covering one-way, two-way coupling, and fully coupled vs. segregated solvers.
Navier-Stokes: SIMPLE Algorithm
Explores the application of the SIMPLE algorithm in solving Navier-Stokes equations and compares staggered grid vs. collocated grid approaches in numerical flow simulations.
Numerical Analysis: Stability in ODEs
Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.
Numerical Methods: Boundary Value Problems
Explores boundary value problems, finite difference method, and Joule heating examples in 1D.
Numerical Methods for ODEs: Crank-Nicolson, Heun, Euler, RK4
Explores numerical methods like Crank-Nicolson, Heun, Euler, and RK4 for solving ODEs, emphasizing error estimation and convergence.
