Deriving 4th order approximation of a 2nd order derivative using Taylor Table method Objectives:  To derive 4th order approximations (Central Difference Scheme, Skewed Right-sided scheme and Skewed Left-sided scheme) of a second order derivative and prove that our skewed schemes are fourth-order accurate. To write program…

Solving the Steady and Unsteady 2D Heat Conduction Problem Using MATLAB Objective: To solve the Steady and Unsteady 2D Heat Conduction problem using the point iterative techniques such as Jacobi, Gauss-Seidal and Successive Over Relaxation methods using MATLAB. Table of Contents Objective Overview of the Problem Steady…

Simulation of a 1D Supersonic nozzle flow simulation using MacCormack Method Objective:  To simulate the isentropic flow through a quasi 1D subsonic-supersonic nozzle. The basic governing equation for quasi 1D nozzle flow is derived for both conservative and non-conservative form by implemeting the MacCormack's technique…

Simulation of a backward facing step in OpenFOAM Objectives: To simulate the incompressible-laminar-viscous flow through the backward facing step geometry using OpenFOAM for the below cases: CASE 1: Without the Grading factor  CASE 2: With the Grading factor (0.2) To plot the velocity plot at length 0.085 m from inlet…

Finite Volume Method Literature Review Objectives: To explain about Finite Volume Method (FVM) and how it differs from Finite Difference Method (FDM) To explain interpolation schemes and flux limiters in FVM Some abbreviations: FVM - Finite Volume Method FDM - Finite Discrete Method PDE  - Partial Differential Equations…

Simulation of Flow through a pipe in OpenFoam The flow through a pipe is the case of internal flow. The surface is the duct in the case of air; it is a pipe in the case of water. The flow is driven because of the pressure difference created by the pumps, air handling units, fans, etc. They find their major application…

Validation studies of Symmetry BC vs. Wedge BC in OpenFOAM vs. Analytical Hagen-Poisueille equation Objective: In this project, we simulate the laminar flow through a pipe with the two boundary conditions (Symmetry and Wedge) and compare them with Analytical results (Hagen-Poisueille Equation). Also, we take different…

Surface meshing on a Pressure valve Objective: To check the geometrical errors, perform the topology cleanup and do the surface mesh for the given Pressure Valve model using ANSA. Need to perform mesh model for the target lengths - 1 mm, 3 mm and 5 mm with element type Tria.   1. Geometry Checks: Tools > Checks…

CFD Meshing on Turbocharger using ANSA Objective: For the given model 3D model, the following steps are required: 1. Geometrical Check:- Conduct a thorough geometrical examination of the model to identify any errors or discrepancies. 2. PIDs Creation and Assignment:- Create and assign PIDs (Property IDs) to different components…