Week 3.5 - Deriving 4th order approximation of a 2nd order derivative using Taylor Table method

Objective: In this challenge, the following outcomes should be studied: Validate Hydro-dynamic length with the numerical result Validate the fully developed flow velocity profile with its analytical profile Validate maximum velocity and pressure drop for fully developed flow Post-process Shear stress and validate wall…

Hagen- Poiseuille's equations : In nonideal fluid dynamics, the Hagen–Poiseuille equation, also known as the Hagen–Poiseuille law, Poiseuille law or Poiseuille equation, is a physical law that gives the pressure drop in an incompressible and Newtonian fluid…

Objective: The main objective of this task is to check the geometry for the error on a half portion, assign the PIDs, and generate the surface mesh for the entire Tesla Cyber truck model with the given mesh parameters. Geometry Details and Clean-up: The given Tesla Cyber truck model has to be split into 2 halves, for which:…

Objective: The main objective of this challenge is to clean the unwanted surfaces of the given geometry models and to create the surface wrap for the final merged model. Geometry Clean up: The given geometry were cleaned by removing the unwanted and overlapping surfaces for all 3 given models as shown below: Model 1: Engine…

Objective: The main objective of this task is to check the geometry for the error on a half portion, assign the PIDs, and generate the surface mesh for the entire BMW model with the given mesh parameters. Geometry Details and Clean-up: The given BMW model is split into half and deleted one half in a symmetric plane except…

Objective: The main objective of this task is to check the geometry for the error and generate the volume mesh for a given turbocharger model with the given mesh parameters. Geometry Details and Clean-up: The given turbocharger model for this task is shown below: The geometry check was done for the model and single cons…

 Objective: The main objective of this task is to clean the geometry and mesh the given pressure valve model using different lengths as different tasks and to observe the mesh quality on each of them. Geometry Detail and clean-up procedure: The pressure valve geometry model given for the meshing is shown below: The…

Finite Difference Method (FDM): FDM is one of the discretizing techniques in which we discretize the domain into individual grid points and then solve the governing equations on those points. Finite Volume Method (FVM): FVM is the most commonly used discretizing technique where the governing equations are derived using…

Objective: This task aims to simulate the flow through a backward-facing step geometry using OpenFOAM. The simulation will be done with and without a grading factor, and the velocity field will be compared. Procedure: To simulate the backward-facing step in OpenFOAM, the following steps were carried out: The actual tutorial…

Objective: Simulate the isentropic flow through a quasi 1D subsonic-supersonic nozzle in both the conservation and non-conservation forms of the governing equations and solve them using MacCormack's technique and observe the following results: 1. Steady-state distribution of primitive variables inside the nozzle2. Time-wise…

2D Steady Heat Conduction Equation `(d^2T)/(dx^2)+(d^2T)/(dy^2)=0` Objective: Primary objective is to compare convergence rate i.e No. of iteration of steady and unsteady 2D heat conduction problem using Explicit and Implicit form of solutions for different iterative solvers: 1. Jacobi method, 2. Gauss Seidal method and…

here u can find the code which is used for solving and finding errors for different skewed approximation system of equations...but i have used a single code without calling it in different function as u have not mentioned a way on what basis it should be followed, so I have followed this simple way clear all;close all;clc;…