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Computational Fluid Dynamics Worked Examples

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All the problems are extracted from our publication "Computational Fluid Dynamics Recipes - Outline & Worked Examples" and all formulae references are from the book. To order our publications, please visit our page here.

We will add more and more problems as we go on.

To support this effort, please either order our publications or ask you library to do so.

  1. Steady State Diffusion Examples

    1. Steady State Heat Conduction

      1. One-Dimensional Heat Conduction without a source
      2. One dimensional Heat Conduction: Circular Fin
      3. Two Dimensional Heat Conduction
      4. Two Dimensional Heat Conduction with a Heat Sink or Source
      5. Heat Conduction in a Circular Rod
      6. Two Dimensional Heat Conduction in a Plate With a Rectangular Hole

    2. Steady State Creeping Flows

      1. Two Dimensional Lid Driven Cavity Creeping Flow
      2. Creeping Flow Past a Square Block

  2. Steady State Convection - Diffusion Examples

    1. Central and Upwind Methods

      1. One Dimensional Transport Equation: Central Differencing
      2. One Dimensional Convection - Diffusion: Upwind Differencing
      3. Lid Driven Cavity Flow: Upwind Method
      4. Flow Over a Backward Facing Step: Upwind Method
      5. Flow Past a Square Block: Upwind Method

    2. Hybrid & CONDIF Schemes

      1. One Dimensional Hybrid Scheme Example
      2. Lid Driven Cavity Flow Hybrid Scheme
      3. Lid Driven Cavity Flow: CONDIF Scheme
      4. Flow Past a Square Block: Hybrid method
      5. Flow Past a Square Block: CONDIF Method

    3. QUICK Method

      1. One Dimensional QUICK Example
      2. Lid Driven Cavity Flow: QUICK Method
      3. Flow Over a Backward Facing Step: QUICK Method

    4. SIMPLE Family Methods

      1. One Dimensional Nozzle Flow: SIMPLE upwind schemes
      2. Lid Driven Cavity Flow: SIMPLE upwind schemes
      3. One Dimensional Nozzle Flow: SIMPLER upwind schemes

  3. Unsteady Problems

    1. One Dimensional Transient Heat Conduction: Explicit Scheme
    2. One Dimensional Transient Heat Conduction: Implicit Scheme
    3. One Dimensional Transient Heat Conduction: Crank - Nicholson
    4. Unsteady Lid Driven Cavity: creeping Flow
    5. Unsteady Flow Over a Backward Facing Step
    6. Unsteady Cavity Flow: SIMPLE upwind implicit