2D Heat Conduction

PROBLEM STATEMENT: Solving the Transient form of 2D Heat Conduction Equation using Matlab. Here the iterative methods of Jacobi, Gauss Siedel, and Successive Relaxation Methods will be employed. In the discretization of the Transient equation, both explicit and implicit finite difference schemes will be employed. Solving…

 PROBLEM STATEMENT: Write a Code in Matlab to numerically solve the one dimensional Linear Convection Equation.  Define a function which accepts time step as the argument and generates the Velocity Profiles corresponding to varying time steps Compare the effect of the time step size on the velocity profile by…

PROBLEM STATEMENT: Write a Code in Matlab to numerically solve the one dimensional Linear Convection Equation. Generate and plot the Velocity profile of the Linear Convection Equation. Compare the effect of the grid spacing on the velocity profile by plotting the velocity profile for a varying number of nodes. ONE DIMENSIONAL…

    MAIN PROGRAM MATLAB CODE: clear all close all clc %Analytical and Numerical Derivatives are calculated at x=pi/3 x=pi/3; %The range of values for gird spacing dx is represented by command below dx=linspace(pi/25,pi/500,100); %Function f(x)=exp(x)*cos(x) %We are intializing the size of the variables %CDS_fourth_order_error;RSSS_fourth_order_error;LSSS_fourth_order_error…

Problem Statement: Setting up a transient shock tube simulation using Converge studio. Obtaining plots of the pressure and temperature history in the entire domain and providing a suitable explanation for them. Obtaining a plot for cell count as a function of time. Setting up the simulation in Converge: Geometry…

PROBLEM STATEMENT: Simulating a steady state flow over a throttle body. Simulating a steady state flow over a throttle body: Since we are simulating a steady state flow there will be no variations in the flow once it is fully developed. Geometry Setup:                   …

I have created a project report containing my solution to this challenge. Below is the link through which you can access it:Project report-google drive link.

Simulating a transient flow over the throttle body Geometry Setup:                                                                         …

Problem Statement: Setting up a case in converge to for modeling flow over a backward facing step. Verifying the grid independence of the solution by running it on three different base grid sizes. Setting up a case in converge for modeling flow over a backward facing step A steady-state flow is simulated over…

PROBLEM STATEMENT : Setting up a case in converge for modeling flow in a channel. Verifying the grid independence of the solution by running it for three different base grid sizes. Setting up a case in converge for modeling flow in a channel: Mathematical Model : It is a boundary value problem which is obtained…

Problem Statement: Setting up a simulation in converge to model conjugate heat transfer. Adding Y+ to the post.in files. Verifying the grid independence of the case set up by running the simulation on three different mesh sizes. Observe and document the effect of supercycle on the total simulation time.  Setting…