High Resolution Shock Capturing Scheme for Non-Relativistic Hydrodynamics - Lecture 2
Explore advanced numerical techniques for modeling shock waves in non-relativistic fluid dynamics, enhancing understanding of complex hydrodynamic phenomena in astrophysical simulations.
Finite Difference Schemes for Partial Differential Equations in Oceanography - Munk Equation and Shallow Water Equations
Explore high-order finite difference schemes for Munk equation and Shallow Water equations on Cubed Sphere grid, with numerical and convergence analysis.
Data to Differential Equations: Discovering Mathematical Models for Biological Systems
Explore data-driven techniques for discovering governing equations in complex biological systems, focusing on PDEs and innovative mathematical methods for modeling phenomena like arterial flow and tissue fracture.
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.
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.
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.
Finite Volume Method for Diffusion Equation - Discretization of 1D Diffusion Equation
Explore discretization of 1D steady diffusion equation and solve heat conduction problems using the Finite Volume Method.
Finite Volume Method for Diffusion Equation - Boundary Conditions for 2D Diffusion Equation
Explore boundary conditions for 2D diffusion equations, including Dirichlet, Neumann, and mixed conditions in finite volume methods.
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.
MAgNet: Mesh Agnostic Neural PDE Solver
Explore innovative neural PDE solver for accurate, scalable climate predictions. Learn about mesh-agnostic architecture combining Implicit Neural Representations and Graph Neural Networks.
Use CFD to Take Your 3D Printed Designs to the Next Level
Learn to optimize 3D printed designs using free cloud-based CFD software. Discover how to create, simulate, and analyze airflow for improved part cooling fan ducts and other 3D printing applications.
Statistical Physics of Turbulence - Lecture 1
Explore turbulent flows in nature and industry, examining mathematical, engineering, and physical perspectives. Learn about analytical, experimental, and numerical tools, and delve into the phenomenology of turbulence.