Solving steady-state and unsteady state (Implicit and Explicit) 2D heat conduction equation using MATLAB

# Finite Volume Method: In the Finite Volume Method, discretization is based on an integral form of the partial differential equation (PDE) to be solved like conservation of mass, momentum, or energy. The PDE is written in a form that can be solved for a given finite volume. The computational domain is discretized into…

# Objective: The objective of this project to simulate the flow through the backwards-facing step using Incompressible, Laminar and Transient solver in OpenFoam.To study the effect of the grading factor of mesh on the velocity profile. # Probelm Statement: Create the above geometry using BlockMeshDict file available OpenFoam…

# Objective: The objective of this project is to simulate the isentropic flow through a quasi 1D subsonic-supersonic nozzle. To derive the conservation and non-conservation forms of governing equation and solve them using MacCormack's technique. # Problem Statement: The physical problem of isentropic subsonic-supersonic…

# Objective: The objective of this project is to compare the convergence rate (Number of iterations) of the steady-state and transient simulation(Implicit and Explicit) of the 2D heat conduction equation solved by three iterative solvers like, 1) Jacobi 2) Gauss Seidel 3) SOR (successive over-relaxation)   # Problem…

# Objective: The objective is to solve the one-dimensional linear convection equation for the unit step velocity profile and to observe convection phenomena for the number of time steps. and to study the effect of time step on linear convection phenomena. Length of the domain=1 m velocity profile: 2 m/s between 0.1 and…

# Objective The objective of this project is to derive the central difference, skewed right-sided and skewed left-sided difference approximation for the second derivative using the Taylor table method. compare the approximation errors and plot them for the above three different fourth-order approximation methods for the…