Overview of Numerical Methods: Finite Difference Method
Explore finite difference methods in CFD, covering discretization, mesh types, and equation solving techniques for numerical solutions.
Finite Volume Method for Fluid Flow Calculations: SIMPLE Algorithm - Continued
Explore the SIMPLE algorithm for fluid flow calculations, including under-relaxation techniques and boundary conditions implementation.
Review of Governing Equations: General Scalar Transport Equation
Explore the general scalar transport equation, Gauss divergence theorem, and finite volume approach. Gain insights into classifying physical problems in fluid dynamics.
Finite Volume Method for Fluid Flow Calculations: The Staggered Grid Approach
Learn the staggered grid approach and SIMPLE algorithm for fluid flow calculations using the Finite Volume Method.
Finite Volume Method for Fluid Flow Calculations - SIMPLE Algorithm
Explore the SIMPLE algorithm for fluid flow calculations using finite volume method on staggered grids through code demonstration.
Finite Volume Method for Diffusion Equation - Linearization of Source Term and Line-by-Line TDMA
Explore TDMA algorithm, Line by Line TDMA, and source term linearization in finite volume methods for diffusion equations.
Finite Volume Method for Convection and Diffusion - Discretization of Steady Convection Equation
Explore discretization techniques for steady convection equations, focusing on upwind difference schemes and accuracy analysis for convection-diffusion problems.
Multisymplectic Unscented Kalman Filter for Geometrically Exact Beams
Explore advanced filtering techniques for geometrically exact beam models using multisymplectic unscented Kalman filters in structural engineering applications.
Vector Fields - Calculating the Line Integral Work Around Closed Paths
Explore vector fields and calculate line integral work around closed paths using analytical and numerical methods with Python.
FDTD: Materials and Boundary Conditions - PML Theory Summary
Explore PML theory in FDTD simulations for materials and boundary conditions. Learn key concepts and applications in electromagnetic modeling.
Finite Difference Time Domain Methods: 2D FDTD Formulation and Time Stepping
Explore 2D FDTD formulation and time stepping in finite difference time domain methods. Master advanced computational techniques for electromagnetic simulations.
FDTD: Materials and Boundary Conditions - Absorbing Boundary Conditions in 2D
Explore absorbing boundary conditions in 2D for FDTD simulations of materials, enhancing understanding of electromagnetic wave propagation and computational techniques.
FDTD: Materials and Boundary Conditions - Failure of ABC
Explore FDTD simulation limitations in absorbing boundary conditions. Gain insights into material interactions and electromagnetic wave behavior in computational electromagnetics.
FDTD: Materials and Boundary Conditions - Implementing PML into FDTD - Part 2
Implement PML into FDTD with advanced techniques for materials and boundary conditions. Enhance electromagnetic simulation accuracy and efficiency.
FDTD: Materials and Boundary Conditions - Implementing PML into FDTD - Part 1
Explore implementing Perfectly Matched Layer (PML) boundary conditions in Finite-Difference Time-Domain (FDTD) simulations for electromagnetic wave propagation modeling.
Introduction to Orthogonal Polynomials - Lecture 41
Explore orthogonal polynomials: definition, properties, examples, and mapping to standard intervals. Gain insights into this fundamental mathematical concept.
Finite Volume Method for Diffusion Equation - Problem Solving Using TDMA
Solve diffusion equation problems using Finite Volume Method and TDMA. Learn source term linearization and tackle example problems.
Finite Volume Method for Convection and Diffusion: Discretization of Steady and Unsteady Convection Equations
Explore numerical methods for convection-diffusion equations, focusing on finite volume discretization, dispersion, and modified equation analysis.
Finite Volume Method for Convection and Diffusion - Discretization of Unsteady Convection Equation
Explore discretization techniques for unsteady convection equations, including CDS, UDS, Lax-Wendroff, and higher-order schemes like QUICK and Fromm.
Overview of Numerical Methods: Finite Volume Method
Explore the finite volume method, a crucial numerical technique for solving partial differential equations in engineering and scientific applications.
Finite Volume Method for Diffusion Equation - Discretization of 2D Steady Diffusion Equation
Explore discretization techniques for 2D steady diffusion equations using the Finite Volume Method, enhancing your understanding of numerical methods in computational fluid dynamics.