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

Quuestion : 1. Central difference 2. Skewed right-sided difference 3. Skewed left-sided difference After deriving these schemes, prove that your skewed schemes are fourth-order accurate i.e the thumb rule given in HINT (ii).  Once you have done this, write a program in Matlab to evaluate the second-order derivative of…

Question : In this challenge you are going to simulate the isentropic flow through a quasi 1D subsonic-supersonic nozzle. You will derive both the conservation and non-conservation forms of the governing equations and sovle them using the MacCormack's technique. You need to determine the steady-state temperature distribution…

Question : In this challenge, you are going to simulate an incompressible-laminar-viscous flow through the backward facing step geometry. You should perform a transient simulation. The solver can be chosen based on the described physics of the flow. You need to explain the entire simulation procedure (how you set up the…

Question : Steady state analysis & Transient State Analysis Solve the 2D heat conduction equation by using the point iterative techniques that were taught in the class. The Boundary conditions for the problem are as follows; Top Boundary = 600 K Bottom Boundary = 900 K Left Boundary = 400 K Right Boundary = 800 K You…

AIM : For the given models, check for the geometrical errors and delete surfaces which are unwanted for Surface wrap as shown in the videos. After clearing geometry, Merge all 3 models and perform surface wrap. Target length for Wrap = 4 mm   PROCEDURE:                 …

 AIM: For the given model, check and solve all geometrical errors and Assign appropriate PIDs. Perform meshing with the suitable Target length and element Quality criteria.    procedur:  1. from the fig we can see that there are all single cons present  2. so to remove single cones we do topo for hole geomatry. by doing…

aim: For the given model, check and solve all geometrical errors on half portion and Assign appropriate PIDs. Perform meshing with the given Target length and element Quality criteria. Target lengths for the different parts of a model are as follow: Body - 3 mm Lights - 4 mm Grills - 1 mm Rims and Tyres - 2 mm Optical…

AIM;  For the given model, check for the geometrical errors to make appropriate volumes. Perform surface mesh with the given target lengths as per PIDs. and Perform Volumetric mesh for the required volumes Procedure :  1.we have given a model of turbo charger a shown in fig   2. for the given model we have to perfome surface…

AIM:For the given model, check for the geometrical errors and perform Topology cleanup accordingly. Set three different target lengths as three different cases and mesh the model. Target length = 1mm, 3 mm and 5 mm (i.e. 3 cases)Element type = TriaApply any one target length from the above at a time for the entire model…