Introduction to Finite Volume Methods I

Introduction to Finite Volume Methods I

@VTU COE

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What you will learn

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The Finite Volume Method (FVM) is one of the widely used numerical techniques in the scientific community and in industry as well. In this approach, the partial differential equations that represent the conservation laws to simulate fluid flow, heat transfer, and other related physical phenomena, are transformed over differential volumes into discrete algebraic equations over finite volumes (or elements or cells). Thereafter, the system of algebraic equations is solved to compute the values of the dependent variable for each of the elements to represent the physical processes.

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Discretization Process-I
Preview 26:29
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Discretization Process-II
Preview 32:00
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Discretization Process-III
Preview 30:01
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Taylor Series-I
Preview 31:11
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Taylor Series-II
Preview 30:26

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Derivatives and Errors-I
Preview 30:40
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Derivatives and errors-II
Preview 30:48
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Grid Transformation
Preview 35:09
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Finite Volume Formulation-I
Preview 26:37
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Finite Volume Formulation-II
Preview 32:29

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Properties of discretized equations
Preview 28:22
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Introduction to Finite Volume Mesh
Preview 32:01
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Structured Mesh System
Preview 29:26
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Unstructured Mesh System-I
Preview 18:15
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Unstructured Mesh System-II
Preview 43:09

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Properties of Unstructured Mesh-I
Preview 33:52
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Properties of Unstructured Mesh-II
Preview 27:33
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Finite Volume discretization of Diffusion Equation-I
Preview 33:35
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Finite Volume discretization of Diffusion equation-II
Preview 27:22
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Finite Volume discretization of Diffusion equation-III
Preview 30:11

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Discretization of Diffusion Equation for Cartesian orthogonal systems-I
Preview 30:59
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Discretization of Diffusion Equation for Cartesian orthogonal systems-II
Preview 35:13
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Calculation of Diffusivity
Preview 26:07
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Discretization of Diffusion Equation for non-Cartesian orthogonal systems-I
Preview 33:09
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Discretization of Diffusion Equation for non-orthogonal systems-I
Preview 28:32

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Discretization of Diffusion Equation for non-orthogonal systems-II
Preview 30:11
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Discretization of Diffusion Equation for non-orthogonal systems-III
Preview 31:16
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Gradient Calculation for Diffusion Equation-I
Preview 29:42
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Gradient Calculation for Diffusion Equation-II
Preview 31:05
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Gradient Calculation for Diffusion Equation-III
Preview 27:48

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Properties of matrices-I
Preview 34:11
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Properties of matrices-II
Preview 31:21
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Error Analysis-I
Preview 30:22
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Error Analysis-II
Preview 31:11
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Error Analysis-III
Preview 31:00
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Meet Your Instructor
@VTU COE
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Instructor
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8558 Students
802 Courses
About Instructor

VTU is one of the largest Technological Universities in India with 24 years of Tradition of excellence in Engineering & Technical Education, Research and Innovations. It came into existence in the year 1998 to cater the needs of Indian industries for trained technical manpower with practical experience and sound theoretical knowledge.

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  • Course Duration
    20 h 30 m 10 s
  • Course Level
    Intermediate
  • Student Enrolled
    0
  • Language
    English
This Course Includes
  • 20 h 30 m 10 s Video Lectures
  • 2 Quizzes
  • 0 Assignments
  • 0 Downloadable Resources
  • Full Lifetime Access
  • Certificate of Completion