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.

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Steady State Diffusion Examples

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

Steady State Creeping Flows

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

Steady State Convection - Diffusion Examples

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

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

QUICK Method

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

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

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