clear all close all clc x=pi/3; dx=linspace (0.001,0.1,20); %analytical derivative %analytical equation=exp(x)*cos(x) analytical_derivative=(-2*exp(x)*sin(x)); for i=1:length(dx) central_difference(i)=central_difference_taylor_series(x,dx(i)); forward_right_differencing(i)=forward_differencing_taylor_series(x,dx(i)); backward_left_differencing(i)=backward_differencing_taylor_series(x,dx(i));…

AIM-: Solution of the 2D heat conduction equation by using the point iterative techniques using Jacobi, gauss seidel, and SOR methods with explicit and implicit.   clear all close all clc nx=10; ny=nx; x=linspace(0,1,nx); dx=x(2)-x(1); y=linspace(0,1,ny); z=fliplr(y); f=1.5; iter=1; t=ones([nx,ny])*298; t(1,1:nx)=600;…

Abstract  In this challenge, it is going to simulate the isentropic flow through a quasi 1D subsonic-supersonic nozzle.it will derive both the conservation and non-conservation forms of the governing equations and solve them using the MacCormack's technique. form this need to determine the steady-state temperature…

ABSTRACT-: In this project, we are going to simulate an incompressible-laminar-viscous flow through the backward-facing step geometry. From the experiment, we should perform a transient simulation. The solver can be chosen based on the described physics of the flow. In this project, explain the entire simulation procedure. …

 AIM-:The Hagen-Poiseuille equation describes the parabolic velocity profile of frictional, laminar pipe flows of incompressible, Newtonian fluids. from the Hagen-Poiseuille equation, we simulating pipe flow using OpenFOAM with Matlab. In this CFD problem, we use water as a fluid at room temperature. The flow…

    AIM-: Pipe is a passage with a closed perimeter through which the fluid flows under pressure. The fluid flowing in the pipe is always subjected to resistance due to the shear force between fluid particles and the surface of the pipe. In this principle, we will use the symmetry, wedge, and HP equation…

Abstract  LS-DYNA doesn't have a default system of units. User needs to input material properties and physical dimensions according to a consistent system of units as per their choice. This warrants that to use LS-DYNA in different circumstances, users have to be conversant with converting quantities from one system…

  Explicit and Implicit Analysis   Abstract Implicit and Explicit analysis differ in the approach to time incrementation. In Implicit analysis, each time increment has to converge, but you can set pretty long time increments. Explicit on the other hand doesn’t have to converge each increment, but for the…