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Course10110407440 lectures

Introduction to Finite Volume Methods I

Prof. Ashoke De · IIT Kanpur

Start with lecture 1 At NPTEL

Lectures

WEEK1-Fundamentals of Finite Volume Method

  1. Introduction to Finite Volume Method Video
  2. Governing Equations and Discretization Video
  3. Boundary Conditions and Classification of PDEs Video
  4. Mathematical Description of fluid flow-I Video
  5. Mathematical description of fluid flow-II Video

WEEK2- Discretization process and Taylor series

  1. Discretization Process-I Video
  2. Discretization Process-II Video
  3. Discretization Process-III Video
  4. Taylor Series-I Video
  5. Taylor Series-II Video

WEEK3- Derivatives and Errors

  1. Derivatives and Errors-I Video
  2. Derivatives and errors-II Video
  3. Grid Transformation Video
  4. Finite Volume Formulation-I Video
  5. Finite Volume Formulation-II Video

WEEK4-Finite Volume Formulation

  1. Properties of discretized equations Video
  2. Introduction to Finite Volume Mesh Video
  3. Structured Mesh System Video
  4. Unstructured Mesh System-I Video
  5. Unstructured Mesh System-II Video

WEEK5-Finite Volume Mesh properties

  1. Properties of Unstructured Mesh-I Video
  2. Properties of Unstructured Mesh-II Video
  3. Finite Volume discretization of Diffusion Equation-I Video
  4. Finite Volume discretization of Diffusion equation-II Video
  5. Finite Volume discretization of Diffusion equation-III Video

WEEK6-Discretization of Diffusion Equation

  1. Discretization of Diffusion Equation for Cartesian orthogonal systems-I Video
  2. Discretization of Diffusion Equation for Cartesian orthogonal systems-II Video
  3. Calculation of Diffusivity Video
  4. Discretization of Diffusion Equation for non-Cartesian orthogonal systems-I Video
  5. Discretization of Diffusion Equation for non-orthogonal systems-I Video

WEEK7-Discretization of Diffusion Equation and Gradient calculation

  1. Discretization of Diffusion Equation for non-orthogonal systems-II Video
  2. Discretization of Diffusion Equation for non-orthogonal systems-III Video
  3. Gradient Calculation for Diffusion Equation-I Video
  4. Gradient Calculation for Diffusion Equation-II Video
  5. Gradient Calculation for Diffusion Equation-III Video

WEEK8-Solution of Linear system of equations

  1. Properties of matrices-I Video
  2. Properties of matrices-II Video
  3. Error Analysis-I Video
  4. Error Analysis-II Video
  5. Error Analysis-III Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Kanpur
Department
Aerospace Engineering
Teacher
Prof. Ashoke De
Level
Undergraduate
Language
English
Subjects
Engineering
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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