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Computational Science : Recent Questions and Answers (Page 36)

Find answers to your questions about Computational Science or help others by answering their Computational Science questions.

Odeint error for nonlineal differential equations

I receive the following error when I run the code.ODEintWarning: Excess work done on this call (perhaps wrong Dfuntype). Run with full_output = 1 to get quantitative information. warnings.warn(warning_msg,...

Asked on 12/10/2020 by Eduard Laitin

1 answer

Imposing pressure variation instead of Dirichlet boundary conditions on Finite Element Method

I always see Finite Element codes solving PDE with Dirichlet or Neumann boundary conditions. But, I have a problem now consisting of a straight cylinder with a circular base (a...

Asked on 12/10/2020 by yemino

1 answer

Find quadrature points and weights

I'm struggling with the following problem:What is the maximum degree of exactness that we can obtain with the following quadrature >formula$$int_0^1 f(x)frac{1}{sqrt{x}}dx approx w_0 f(x_0) + w_1 f(x_1)$$...

Asked on 12/10/2020 by lukk

1 answer

Why is $1/r^2$ force law giving spiral trajectory?

I have written a program to solve for Newton's 2nd Law of motion for a given force law, in 2D polar coordinates.It is known that if the force law...

Asked on 12/09/2020

1 answer

How to solve a linear problem A x = b in PETSC when matrix A has zero diagonal enteries?

I am solving a structural mechanics problem that involves setting constraints, and I use Lagrange multipliers to set it. Consequently, some diagonal entries of the tangent stiffness matrix vanish, and...

Asked on 12/08/2020 by ARUN KUMAR

1 answer

Simulation of surface tension-dominated interfaces

I want to simulate the shape of the free surface in a small fuel tank in microgravity, which is very slowly being emptied. The tank is not symmetric, the geometry...

Asked on 12/07/2020 by Christoph

0 answer

Comparing Jacobi and Gauss-Seidel methods for nonlinear iterations

It is well known that for certain linear systems Jacobi and Gauss-Seidel iterative methods have the same convergence behavior, e.g. Stein-Rosenberg Theorem. I am wondering if similar...

Asked on 12/07/2020 by hchen

1 answer

2-DOF Robotic Manipulator Trajectory Tracking Simulation

I am trying to simulate a 2-DOF planar robotic manipulator (have its joints follow a predefined trajectory) that's described by its dynamic model: $$ M(q)ddot{q}+C(q,dot{q})dot{q}+G(q) = tau $$ where...

Asked on 12/07/2020 by Teo Protoulis

1 answer

How to determine if 2 rays intersect?

We are given the 2D coordinates of 2 points: the first point is where the ray starts and it goes through the second point. We are given another ray in...

Asked on 12/05/2020 by Archil Zhvania

3 answer

Probability Density Function of DNS velocity field

I am currently working on a DNS turbulent solver and I would like to compare my IHT simulations to papers. Those papers show the Probability Density Function of the velocity...

Asked on 12/05/2020 by Ofdow

1 answer

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