Objective Solving linear systems using iterative methods. The following flow of information will be followed in this report 1. Understanding of the problem 2. Main Program 3. Output 4. Inference   1. Understanding of the problem Given matrix: The above matrix can be solved directly by implementing x = inv(A)*b; While…

Objective Compare the absolute error in the solution derived numerically using central difference, right-sided skewed difference and left-sided skewed difference methods with the analytical solution for the below-mentioned function using Taylor table method and MATLAB. `f(x)=ⅇ^x cos⁡(x)`   Introduction To represent…

Objective Comparison and analysis of the numerical solution for a first order 1D wave equation using the following parameters. Understanding of the Problem We know the first order 1D linear convection wave equation as `(∂u)/(∂t)+c (∂u)/(∂x)=0`                 …

Objective Analysis of the Prandtl-Meyer expansion wave by simulating a two-dimensional supersonic flow through a specified geometry. The flow of information in this report will be as follows Introduction Understanding of the Problem Geometry Case Setupa. Preprocessingb. Solverc. Postprocessing Animation Inference References…

Objective To simulate flow through a backward facing step using OpenFOAM.   Parameter Guide   Introduction OpenFOAM is a C++ toolbox which stands for Open-source Field Operation and Manipulation. It is used for the development of customized numerical solvers and pre/post-processing utilities for the solution…

Objective To perform a comparative study to establish an understanding of various contact types and kinematic load conditions. Six cases with varying contact parameters and kinematic load conditions will be implied on a crash tube to analyze the underlying differences. Software used: Altair HyperWorks and RADIOSS The flow…

Objective Analysis of fluid flow over a transient state throttle body. The analysis will provide insights on the following parameters Mesh profile Velocity profile Pressure profile Mass flow rate Total cell count   Introduction Converge Studio is the flagship model from Convergent Science which is widely used for…

Objective Comparison and analysis of the numerical solution for a first order 1D wave equation using the following parameters. Understanding of the Problem We know the first order 1D linear convection wave equation as `(∂u)/(∂t)+c (∂u)/(∂x)=0`                 …

Objective To simplify the Navier-Stokes equation to capture the effect of turbulence viscosity using the Reynolds-Averaged Navier-Stokes formulation. The flow of information in this report will be as follows Understanding the Problem References   1. Understanding the Problem RANS stands for Reynolds-Averaged Navier-Stokes…

Objective Perform a shock tube simulation to analyze shock waves formed due to the kinetics of the chemical compositions. The analysis will provide insights on the following parameters  Adaptive Mesh Refinement profile Concentration of the high-pressure driver gas Temperature profile Velocity profile Pressure profile…

Objective To understand the design strategy and consideration that goes under designing and developing an automotive hood to achieve maximum safety for everyone in and around the vehicle. With this understanding, an industry-standard hood panel is to be designed which can very well be manufactured and assembled. In other…

Objective Analysis of fluid flow over a steady state throttle body. The analysis will provide insights on the following parameters Mesh profile Velocity profile Pressure profile Mass flow rate Total cell count   Introduction Converge Studio is the flagship model from Convergent Science which is widely used for CFD…

Simple pendulum equation `(ⅆ^2 θ)/(ⅆt^2 )+b/m (ⅆθ)/(ⅆt)+g/L sin⁡θ=0`                            (1) where, g = gravity in m/s2, L = length of the pendulum in m, m = mass of the ball in kg, b = damping coefficient.   For the processing…

Objective Analysis of the fluid flow through a solid pipe to study conjugate heat transfer. The analysis will provide insights on super-cycling as well as on the following parameters for three different grid sizes Mesh profile Velocity profile Temperature profile It will also provide insights on the grid dependency…

Objective To understand the Finite Volume Method (FVM) and the significance of interpolation schemes as well as the flux limiters.  The flow of information in this report will be as follows Understanding the Finite Volume Method Reference   1. Understanding the Finite Volume Method (FVM) To understand FVM, let’s…

Objective Setting up and analysis of a 2D channel flow considering the following mesh sizes.  The analysis will provide insights on the following parameters Mesh profile Velocity profile Pressure profile Mass flow rate Total cell count Introduction Converge Studio is the flagship model from Convergent Science which…

Objective Solving the 2D heat conduction equation using different types of iterative solvers. The parameters used are as follows The flow of information in this report will be as follows 1. Understanding of the problem 2. Main Code 3. Output plots 4. Inference     1. Understanding of the problem We know the first…

Objective To simulate and analyze a Port Fuel Injected Spark-Ignited engine to capture the characteristics of a four-stroke engine. This analysis will provide insights on spray parcel ejection, turbulence, combustion, fuel utilization, and engine properties variation at various stages of the power generation process.…

Objective To simulate and analyze a CAT-3410 engine with two different piston bowl profiles to capture the characteristic differences caused by piston bowl design in the engine performance and emission.  This analysis will provide insights on spray parcel ejection, turbulence, combustion, fuel utilization, engine…

Objective Simulation of a 1D super-sonic nozzle flow using the following parameters   The flow of information in this report will be as follows Understanding of the problem Main Program Output Inference   1. Understanding of the problem In this report, we will be solving a 1D super-sonic nozzle flow with a steady…