Solving linear convection equation and its stability in numerical perspective

Objective 1. Detect lanes using Hough Transform Method. Steps in lane Detection 1. Detect Edges using Canny Edge Detection Method. 2. Capture the Region of Interest in Image. 3. Detect lines using Hough Transform. 4. Calculate the actual left and right lanes from all lines. 6. Find the coordinates of the lines. 7. Display…

Objective 1. Detect lanes using Hough Transform Method. Steps in lane Detection 1. Detect Edges using Canny Edge Detection Method. 2. Capture the Region of Interest in Image. 3. Detect lines using Hough Transform. 4. Calculate the actual left and right lanes from all lines. 6. Find the coordinates of the lines. 7. Display…

Objective: Detecting Edges using Canny Edge Detector. Understand and display the outputs of all steps in the canny Edge Detection process. Effect on the output on changing the parameters of the Non-Maximum Suppression. Understand Hough Transform and Lane Detection using Hough Transform.   Steps Follow in the Discussion:…

Objective: Apply Prewitt and Laplacian filter on the image Libraries used: Opencv Open Source computer vision library. cross-platform supported. can perform through c, c++, and python. numpy Mathematical library to work in the domain of Linear algebra, Fourier transform, and matrices.       Image Filtering…

https://skill-lync.com/student-projects/week-2-image-filtering

Objective : Perform a One of the image manipulation of the image (Rotation) Library Used :  Opencv numpy Image manipulation are useful for algorithms , manipulating the image as required for the algorithms. Capturing the required part of the image. About in-built Functions : cv2.getRotationMatrix2D((col_cen,row_cen),…

https://skill-lync.com/projects/week1-image-manipulation-rotation-operation-easy

Objective : To know the importance of the initial and boundary condition in the pde and ode                   Classification of PDE's                   How to implement Boundary conditions in cfd.   Boundary and Initial conditions…

Objective : Simulate the flow through pipe in the openfoam using wedge and symmetry boundary                  Conditions. Need to show Results : Validate Hydro-dynamic length with the numerical result Validate the fully developed flow velocity profile with its analytical profile…

https://skill-lync.com/projects/comparing-the-wedge-and-symmetry-boundary-conditions-for-flow-through-a-pipe

 Objective : Simulate the flow through the pipe in the openFoam using the tutorials.                  Need to show :               1. Shear stress Distribution.               2. Checking for the Hydrodynamic…

https://skill-lync.com/projects/flow-through-pipe-using-openfoam

https://skill-lync.com/myprojects/edit/41506

Objective : 1. Describe the difference between the FDM and FVM.                  2. Need of the interpolation schemes.                  3. Flux limiters in Finite volume method.                …

https://skill-lync.com/projects/week-8-flow-over-a-backward-face-step-using-openfoam

1.Introduction :   Studying the flow behaviour using openfoam for cosidered geometry P and U varies with the geometry. Simulation done for coarsr and finer mesh.      Here we considered the geometry along x =2m and along y = 0.2m. 2. Objective :     1. Simulation of fluid flow for…

https://skill-lync.com/projects/simulation-of-a-1d-super-sonic-nozzle-flow-simulation-using-maccormack-method-6

Objective ::        To solve the isentropic flow of quasi-1D fluid flow through nozzle in conservative and Non-Conservative forms of governing equation using Maccormack method in matlab. Required to show ::        1. Steady-state distribution of primitive variables inside the nozzle …

Objective ::: 1. To be familiar with the stability of linear iterative solvers.                    2.  Importance of iterative solvers over direct methods.                    3.  Analysing the computational expensive…

Objective :: Detail analysis of Stability analysis methods for numerical methods. 1. Types of Stability Analysis :    The discrete Pertubation stability analysis.     The Matrix method stability analysis.    The Von-Neumann stability analysis. 2. Importance to understand stability analysis…

Objective : To investigate convergence rate of steady and Unsteady methods: Matlab code for steady convergence rate : close all clear all clc nx = 20; ny = 20; nt = 1000; x = linspace(0,1,nx); y = linspace(0,1,ny); d_x = x(2) - x(1); d_y = y(2) - y(1); y1 = 1; error = 9e9; tolerance = 1e-4; dt = 1e-4; T_L = 400; T_R =…

https://skill-lync.com/projects/solving-the-steady-and-unsteady-2d-heat-conduction-problem-63

Objective : To solve steady and unsteady in Explicit and implicit form using iterative methods. Iterative methods: 1. Jacobi method. 2. Gauss siedel method. 3. Point successive over-relaxation using any iterative methods. 4. Line successive over-relaxation using any iterative methods. 5. Alternating Direction Implicit(ADI)…

Objective   : To understand the Numerical stability and convergence over time step and grid spacing , and CFL criteria. Description : Numerical simulation understanding is very important as it is the approach to get accurate approximate results for complex                …

Objective : To understand the imporatance of time step in numerical solution for 1D linear Convection Equation. Terms to be understand : Convection : The flow that combines diffusion and the advection is called convection. Advection  : Bulk transfer of mass,momentum,heat of the molecules due to flow of field.…

 Objective : 1.To understand the effect of occurance of errors , while selecting the numerical schemes. 2.Numerical Discretization analysis for various Numerical schemes over a range of grid (or) mesh size. NOTE : Understanding the errors for numerical analysis is very important , this leads to optimize the output…

https://skill-lync.com/projects/taylor-table-method-for-numerical-approximation-methods-2

Objective : To find the fourth order approximations of second order derivative , using central and skewed scheme. Compare all schemes.   Central Symmetric Scheme : Fourth Order Approximation of second order derivative Since , Fourth order Approximation we need four discrete neighbour points . Central , so same number…

Objective : To compare the accuracy of different Numerical Difference methods with Analytical Solution. Numerical Methods : Numerical Methods are really helpful in analysing the physical behaviours using computations. They provide flexibility , and complexity in solving for results. As in numerical methods , we convert…

Aim : Solving ordinary Differential equation using ode45 inbuilt function. Objective : Algorithm to solve ordinary differential equation using ode45.                   Basic knowledge of Damping. Theory :              Genrally we neglect…

Aim : To to calculate the stoichiometric co-efficient (ar) for each fuel. Equations: 1. generic alkane fuel the combustion process equation:     `C_(2n+2) + a_r(O_2 + 3.76N_2) = aCO_2 + bH_2O + cN_2` 2. generic alkane fuel the combustion process equation:     `C_nH_(2n) + a_r(O_2…

https://skill-lync.com/projects/rankine-cycle-simulator-using-matlab-17

 Aim : plot the h-s and T-s plots rankine cycle using matlab.    Theory :   1. Rankine cycle is used to compare the working of steam power plant. 2. In this context , plotting ideal Rankine cycle.                            3.…

https://skill-lync.com/projects/file-parsing-using-matlab-6

Aim : Retriving the data from the file and analysing the required things. Objective :          1. Data retreving from the text file using matlab.         2. Required inbuilt functions in matlab. Theory :          Data retreving process is very important…

https://skill-lync.com/projects/optimization-of-a-function-using-inbuilt-function-ga-genetic-algorithm

Aim : To find the maxime value of a function using matlab. Objective :         1. Knowing how to use ga inbuilt function , and syntax of ga.        2. Information about genetic algorithm. Theory : Genetic algorithm is to find the optimum value .        1.…

Aim : Curve fitting using regression. Objective : Basic information about parameters in regression.                 Curve fitting using regression by least square method. Theory : Regression means is to findout the correlation between two parameters.          …

Aim : Solving ordinary Differential equation using ode45 inbuilt function. Objective : Algorithm to solve ordinary differential equation using ode45.                 Basic knowledge of Damping. Theory :              Genrally we neglect the…

Aim : Plotting of ideal otto cycle p-v diagram four stroke engine. Objective : Got to know about four stroke otto cycle basics, and algorithm to plot p-v diagram using matlab. Theory of Ideal otto cycle :                      otto cycle is an air standard…

Aim : Study of Kinematics of 2R Robotic Arm Using Matlab.   Objective : Got to know algorithm for solving Basic kinematics using matlab.   Description of Robotic Arm :          Robotic arm contains huge number of links , Joints etc.., They work without the help  of a human…