Two Dimensional Heat Conduction - Explicit & Implicit Transient Solvers

There are two core objectives of the project. To create a backward step geometry by editing blockMeshDict file. To study the effect of mesh grading on the velocity magnitude plot at particular location. The geometry is predefined. To create the required geometry, the blockMeshDict file from cavity tutorial is edited. Below…

To implement a Peclet number based interpolation scheme (Hybrid Scheme) A One-dimensional Convection Diffusion code is written in C++ using Finite Volume Method. A Peclet number based interpolation scheme is implemented. For Pe >= 2, the UPWIND scheme is used, whereas for Pe < 2 a Central Difference Scheme is used. …

Objective: 1D Steady State Conduction using Finite Volume Method The code is written in C++ to solve using Finite Volume Method, the One Dimensional Steady-State Heat Conduction equation. The geometry is a rod of length 0.5 m and area of 10e-3 m. The temperature at the left boundary is 100 K and that at the right boundary…

Objective Solve numerically the Quasi 1D Nozzle flow problem by implementing MacCormack method in Conservation and Non-conservation form of governing equations. Implement time-based CFL number Perform  Grid dependency test.    Non Dimensional Governing Eqautions for Nonconservation form. `(del(rho))/(delt)…

Objective To understand the effect of SGS Temperature parameter in capturing of expansion waves in Prandtl-Meyer Expansion Flow Boundary Conditions for Shock Flow Problems Shock flow problems (M>1) are Hyperbolic in nature, where a marching technique (in time or space) is used to obtain the solution. The solution domain…

Objective To implement and understand super-cycling in a conjugate heat transfer problem Verify the simulated result with analytical calculations Geometry The geometry is a hollow cylindrical pipe made of Aluminium Outer Diameter = 4 mm Inner Diameter = 3 mm Length = 200 mm  Boundary Conditions The inlet is a velocity…

SETUP The flow simulation is carried out, with the throttle valve rotated 25 degrees from the completely open position. This rotation happens between 0 to 2 milliseconds. The flow time through the elbow is assumed from the results of the steady-state simulation considering the average velocity at the outlet. The average…

Steady-state airflow simulation is carried out, inside of a throttle body with the valve completely open. The geometry is an STL file, which is imported into converge studio and cleaned up. The mesh size is 2e-3 metres in X, Y and Z respectively. For better visualisation of the flow around the valve, a fixed embedding…

CodeForQuasi1DFlow   The minimum number of cycles for solution convergence is dependent on CFL number, mesh size and time stepping. Keeping mesh and time stepping constant and varying the CFL number. For a grid size of 31 points and CFL based time step, higher CFL <= 1.1 number leads to faster convergence. …

Objective To set up and solve a channel flow problem in Converge and post-process the results in Paraview. The length of the channel is 0.1 metres and height is 0.01 metres. Problem is run for three base grid sizes of 2e-4,1.5e-4 and 1.0e-4 respectively in the X-axis. Y-axis grid size is 1e-4 which is constant for all…

The Two Dimensional Heat Conduction Equation is given by `(delT)/(delt) - alpha ((delT^2)/(delx^2) + (delT^2)/(dely^2)) = 0` The purpose of the project was to implement Transient, Explicit and Implicit Solvers for the given equation. The geometry chosen was a unit square and consisted of an equal number of grid points…

The Two Dimensional Heat Conduction Equation is given by `(delT)/(delt) - alpha ((delT^2)/(delx^2) + (delT^2)/(dely^2)) = 0` The purpose of the project was to implement a Steady State Explicit Solver for the given equation. The geometry chosen was a unit square and consisted of an equal number of grid points in both the…

Wave Equation `(deltau)/(deltat) + C (deltau)/(deltax) = 0`    Numerical solution to the wave equation Assumptions 1. The domain length is L = 1m. 2. The initial velocity profile is a step function. It is equal to 2m/s between x= 0.1 and 0.3 and 1m/s everywhere else. 3. First order forward differencing for the…