Week 9 - FVM Literature Review

A program that solves the following ODE. This ODE represents the equation of motion of a simple pendulum with damping   In the above equation, g = gravity in m/s2, L = length of the pendulum in m, m = mass of the ball in kg, b=damping coefficient. Writing a program in Matlab that will simulate the pendulum motion.…

A program in Matlab to simulate the forward kinematics of a 2R Robotic Arm: Pseudocode for the forward kinematics of a 2R Robotic Arm: 1. Clear all variables and close all figures 2. Set values for l1, l2 and ct 3. Create a range of values for theta1 and theta2 4. For each value in theta1: a. Set THETA1 to the current…

Aim: Checking and solving all geometrical errors and Assigning the appropriate PIDs. Performin the meshing with the suitable Target length and element Quality criteria. Procedure: Import the geometry to ANSA and check the orientation, resolution and units.Geometry without faces. After checking that do the TOPO clean so…

For the given models, checking for the geometrical errors and deleting the surfaces which are unwanted for Surface wrap. After clearing geometry, Merge all 3 models and perform surface wrap. Import the geometry of the Engine and then clean the geometry of the engine and then remove the unwanted parts in the geometry .…

Downloadin and Importing the Geomtry to ANSA and then then doing the TOPO-CLEANUP. This is the geometry of the car in wire frame mode, with all the single, double and Triple cons. We have to rectify the all the single and triple cons to double cons for the perfect geometry. Now the geometry of the car with Shadow and wireframe…

The model is a Turbo-Charger where we have to create the volumetric mesh. Import the geometry which looks like the below geometry. For the above model first we have to do the TOPO cleanup for the single cons and triple cons. These are the places where the single cons and double cons are present as shown in the figure.…

For the given model, checking for the geometrical errors and perform Topology cleanup accordingly. Setting up 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 = Tria First step is to importing the geometry:   After…

Aim: To perform a combustion simulation on the combustor model and plot the variation of the mass fraction of the different species in the simulation. Objective: Part 1 To perform a combustion simulation and plot the variation of mass fraction of different species in the simulation using line probe at different setup NOx…

Aim: To perform a parametric study on the gate valve simulation by setting the opening from 10 % to 80%.  ABSTRACT:  Performing a parametric study on the gate valve simulation by setting the opening from 10 % to 80%. Obtain the mass flow rates at the outlet for each design point. Calculating the flow coefficient…

Aim:- To perform analysis on cyclone separator and calculate the separation efficiency and pressure drop.  ABSTRACT: Writing the the empirical models used to calculate the cyclone separator efficiency. Performing an analysis on a given cyclone separator model by varying the particle diameter from 1 μm to  5 μm and…

ABSTRACT: A steady-state conjugate heat transfer analysis on a model of a graphics card.Using appropriate choice of materials for the simulation. Making sure to properly define the correct solid and fluid zones.Running the simulation for best possible mesh with combination of refined mesh in different regions. Explain…

ABSTRACT some practical CFD models that have been based on the mathematical analysis of Rayleigh Taylor waves and  how these mathematical models have been adapted for CFD calculations. Performing the Rayleigh Taylor instability simulation for 2 different mesh sizes with the base mesh being 0.5 mm. Compare…

ABSTRACT: To Give a brief description of why and where a CHT analysis is used while Maintaining the y+ value according to the turbulence model and justify the results.  To Calculate the wall/surface heat transfer coefficient on the internal solid surface & show the velocity & temperature contours in appropriate…

Ahmed Body: A generic car called Ahmed body which is perhaps the most widely studied simplified car model in the automotive industry. Several experimental and numerical studies on the Ahmed body indicate three major components in the wake of this body: A recirculation bubble over the slanted surface or rear window, one…

Phenomenon of Karman Vortex street.  In fluid dynamics, a Karman vortex street is a repeating pattern of swirling vortices, caused by a process known as vortex shedding, which is responsible for the unsteady separation of flow of a fluid around blunt bodies. It is named…

In this there are 2 models of the mixing tee where first one is long mixing tee and the second one short mixing tee. Under this 2 models we have to do the 2 different cases for each model and from which we have to analyze the each model and have to provide the : Velocity and temperature contour plots on the cut planes…

Challenges to be done in this exercise: Validate Hydro-dynamic length with the numerical result Validate the fully developed flow velocity profile with its analytical profile Validate maximum velocity and pressured drop for fully developed flow Post-process Shear stress and validate wall shear stress for fully developed…

We have to simulate an axisymmetric flow by applying the wedge boundary condition. The flow is laminar and flows through a constant cross-section pipe at an inlet Reynold's number of 2100. To do a transient or steady state simulation and you will validate your results with the Hagen- Poiseuille's equations for the…

The finite volume method (FVM) is a method for representing and evaluating partial differential equations in the form of algebraic equations. In the finite volume method, volume integrals in a partial differential equation that contain a divergence term are converted to surface integrals,…

Simulation in backward facing step: In the given challenge we are going to simulate an incompressible-laminar-viscous flow through backward facing step geometry by performing a transient simulation. Objective: Open openFoam tutorials and find the the solver to solve incompressible-laminar-viscous flow problem. Next step…

The MacCormack method is a widely used discretization scheme for the numerical solution of hyperbolic partial differential equations. The MacCormack method is a variation of the two-step Lax–Wendroff scheme but is much simpler in application. To illustrate the algorithm, consider the following…

For steady state 2D heat Conduction problem:-   Solving the Steady State 2D heat conduction equation by using the point iterative techniques. 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 Absolute error criteria is…

Derivating fourth order approximation using second order derivative: 1. Central Difference Method:   Since we’re deriving using central difference; our numerical stencil will look like this,            Here, we’re computing the 4th order approximation at point (i), where…