CFD Programming
CFD Programming
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Parabolic Equations (2D unsteady heat equation)
Parabolic Equations (2D unsteady heat equation)
Parabolic PDEs are used to describe a wide variety of time-dependent phenomena like Unsteady Heat Equations. I have used two solution techniques entitled "Alternative Directional Implicit(ADI)" and "Simple Explicit Method (FTCS)" for solving the following five different heat problems.
2D Unsteady Heat Transfer Problem with Robin Conditions
Unsteady Heat Conduction on a Rectangular Plate with Convection, and Conduction Boundary Conditions
Unsteady Temperature Distribution in a Plate via Convection Mechanism on Boundaries
2D Unsteady Heat Conduction on a Plate with Dirichlet Conditions
2D Unsteady Heat Transfer Problem with Neuman & Dirichlet Conditions
1D unsteady heat equation
1D unsteady heat equation
Modified Keller Box Method
Dufort-Frankel Method
Combined Method (Explicit, Implicit, Crank-Nicolson)
Crank-Nicolson Method
Simple Implicit Method (Lassonen)
Simple Explicit Method (FTCS)
1_2D Unsteady Heat Transfer Problem with Robin Conditions
1_2D Unsteady Heat Transfer Problem with Robin Conditions
The schematic problem was solved with the two mentioned methods.
1_Temperature Distribution over the plate with ADI (Alternative Directional Implicit) Method
1_Temperature Distribution over the plate with Simple Explicit Method (FTCS)
2_Unsteady-state Heat Conduction on a Rectangular Plate with Convection, and Conduction Boundary Conditions
2_Unsteady-state Heat Conduction on a Rectangular Plate with Convection, and Conduction Boundary Conditions
The schematic problem was solved with the Simple Explicit Method (FTCS).
2_Temperature Distribution with Simple Explicit Method (FTCS)
3_Unsteady Temperature Distribution in a Plate via Convection Mechanism on Boundaries
3_Unsteady Temperature Distribution in a Plate via Convection Mechanism on Boundaries
The schematic problem was solved with Alternative Directional Implicit(ADI).
3_Temperature Distribution with ADI
4_2D Unsteady Heat Conduction on a Plate with Dirichlet Conditions
4_2D Unsteady Heat Conduction on a Plate with Dirichlet Conditions
The schematic problem was solved with Alternative Directional Implicit(ADI).
4_Temperature Distribution with ADI
5_2D Unsteady Heat Transfer Problem with Neuman & Dirichlet Conditions
5_2D Unsteady Heat Transfer Problem with Neuman & Dirichlet Conditions
The schematic problem was solved with Alternative Directional Implicit(ADI).
5_Temperature Distribution with ADI
Parabolic Equations (1D unsteady heat equation)
Parabolic Equations (1D unsteady heat equation)
The schematic problem was solved with the following six different solution techniques.
Modified Keller Box Method
Dufort-Frankel Method
Combined Method (Explicit, Implicit, Crank-Nicolson)
Crank-Nicolson Method
Simple Implicit Method (Lassonen)
Simple Explicit Method (FTCS)
1_Modified Keller Box
2_Dufort-Frankel
3_Combined Method (Explicit, Implicit, Crank-Nicolson).
4_Crank-Nicolson
5_Simple Implicit Method (Lassonen)
6_Simple Explicit Method (FTCS)
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