Deriving 4th order approximation of a 2nd order derivative using Taylor Table method The given function is `u=f(x)=exp(x)*cos(x)`. We have to find the fourth order approximation of the second order derivative of the function using different schemes as follows: 1. Central difference 2. Skewed right-sided difference 3. Skewed…
Vignesh Kumar Dhinasekaran
updated on 22 Aug 2021
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Read more Projects by Vignesh Kumar Dhinasekaran (4)
Week 8 - Simulation of a backward facing step in OpenFOAM
Objective: To perform a incompressible-laminar-viscous flow simulation on a backward facing step and demonstrate the following: 1) Steps in solving the given problem with the help of OpenFoam 2) Study of grading factor and its effect on the simulation considering two case studies (with the help of velocity profile at 0.085…
24 Mar 2023 10:53 AM IST
Week 7 - Simulation of a 1D Super-sonic nozzle flow simulation using Macormack Method
SIMULATION OF A 1D SUBSONIC-SUPERSONIC NOZZLE FLOW USING MACCORMACK METHOD: OBJECTIVE: To simulate the isentropic flow through a 1D subsonic-supersonic nozzle by solving the conservation and non-conservation form of governing equations numerically with the help of Macormack method and interpret the results. PROBLEM…
07 Mar 2022 04:06 AM IST
Week 5.1 - Mid term project - Solving the steady and unsteady 2D heat conduction problem
SOLVING THE STEADY AND UNSTEADY 2D HEAT CONDUCTION PROBLEM FOR THE GIVEN DOMAIN CONDITION: OBJECTIVE: To solve the 2D heat conduction equation numerically for the given boundary condition, considering both steady state and unsteady state approach. METHODOLOGY: We assume the domain to be a square domain with 1 m length…
11 Nov 2021 05:27 PM IST
Week 3.5 - Deriving 4th order approximation of a 2nd order derivative using Taylor Table method
Deriving 4th order approximation of a 2nd order derivative using Taylor Table method The given function is `u=f(x)=exp(x)*cos(x)`. We have to find the fourth order approximation of the second order derivative of the function using different schemes as follows: 1. Central difference 2. Skewed right-sided difference 3. Skewed…
22 Aug 2021 10:09 PM IST