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Computational Science : Recent Questions and Answers

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

How do you construct a self-similar binary structured-tree?

Please excuse me if this question somehow looks trivial or not really interesting, but I recently have a hard time to convince someone else that my algorithm for constructing a...

Asked on 01/04/2022

1 answer

OpenMP inconsistently segfaulting

I parallelized my code with openMP, and now have this bug in my code that's really odd. If it's the first time I run on a computer, it segfaults, but...

Asked on 12/31/2021

0 answer

Robin Boundary Condition with Implicit Upwind - Finite Difference Method for 2D Convection-Diffusion Equation

I am trying to solve a problem with 2D Convection-Diffusion equation with U = Concentration ($mg/m^{2}$) using Implicit Upwind Finite Difference Method like this $$ frac{partial U}{partial...

Asked on 12/24/2021

1 answer

How to determine global stiffness matrix is constrained or not

BackgroundIn solid fem, we often solve $$mathbf{Ku}=mathbf{p}$$where $mathbf{K}$ is global stiffness matrix, $mathbf{u}$ is displacement, $mathbf{p}$ is global load vector. If displacement not be constrained,...

Asked on 12/22/2021

3 answer

4th order tensor rotation - sources to refer

I am trying to model a linear elastic material in Abaqus using a UMAT. For my application, I need to rotate the 6x6 compliance matrix for a given set of...

Asked on 12/19/2021

1 answer

How to use 8-cores CPU as a single-core more (8x) powerful CPU?

I use python for my algorithm which uses only one core and I need more processing speed. I have i7 6700K CPU with 8 cores. How to convert them to...

Asked on 12/19/2021

1 answer

Discretization formula for a system of two differential equations. "Solution to one of these is the initial condition of the other". In which sense?

Consider the following stochastic differential equationbegin{equation}dy=left(A-left(A+Bright)yright)dt+Csqrt{yleft(1-yright)}dWtag{1}end{equation}where $A$, $B$ and $C$ are parameters and $dW$ is a Wiener increment.Equation $(1)$...

Asked on 12/17/2021

0 answer

Help understanding and implementing fast multipole method for N-body

I've been trying to understand the Fast Multipole Method but not really getting anywhere. It seems like the fastest mainstream N-body simulation algorithm, and I would like to...

Asked on 12/14/2021

2 answer

How avoid square shape with Laplacian operator in reaction diffusion calculations?

I have used different variants of the Laplacian operator (div grad) using 4, 8, 12, 20 and 24 of the closest points. I get problems due to the chosen coordinate...

Asked on 12/14/2021

1 answer

Convergence of Truncated Newton for non-convex Hessian

I was wondering if anyone could enlighten me about the convergence properties of the truncated newton method in case of a non-positive definite hessian $nabla^2 f = H$. From...

Asked on 12/12/2021

0 answer

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