# Questions tagged [verification]

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### Isolating bugs with convergence testing

Let's say that I have a numerical code and I'm doing convergence testing on the code. The code fails the convergence test, that is, the order of convergence is not as expected. Checking the order of ...
• 213
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### How can I validate my time integration scheme for my dynamic linear elasticity FEM code with a manufactured solution or similar?

I am solving for a dynamic linear elasticity problem: $$\dfrac{\partial^2 u}{\partial^2 t} - \nabla \cdot \sigma = f$$ where $u \in R^2$ with sufficient BCs and ...
• 446
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### How are topology optimizations validated?

How are topology optimizations validated? I've been confused. Doesn't this mean that each of such design (e.g. N=100) would still need to be validated empirically or is there something that allows one ...
• 427
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### Setting up consistency tests in FVM

I am in need of some help to valdate a consistency test with a finite volume method solver. The idea is the following: Based on the method of manufactured solutions (MMS) I am supplying the analytical ...
1 vote
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### Confused on how Method of Manufactured solutions works?

I am new to computational science and I am trying to wrap my head around how MMS works. I am solving the time independent Helmholtz equation as a simple test of the technique so my starting equation ...
1 vote
149 views

### Which 2D PDE with an exact solution can I use to test/verify my FEM-PDE code?

I have created a program to solve 2D, time-dependent PDEs with the finite element method and get reasonable looking results for the 2D acoustic wave equation. Now I would like to go further and solve ...
• 231
98 views

### Verifying convergence of a stationary solution to a PDE with the Runge-Kutta method

I am numerically solving a nonlinear wave PDE using the Runge-Kutta method, and I know the solution I am looking for is constant in time, but I do not know the solution. What is a good way of ...
274 views

### Are there any drawbacks to using the Method of Manufactured Solutions for convergence testing?

Are there any drawbacks to using the Method of Manufactured Solutions for convergence testing and verification studies? I really can't think of any.
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1 vote
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### Method of manufactured solutions - choice of type of boundary conditions

I am attempting to use the method of manufactured solutions (MMS) for code verification for linear elasticity. However, this is more of a general question regarding the general use of MMS. In MMS, ...
• 321
1 vote
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### Computational approaches to analyse numerical solutions

I apologise beforehand if the question isn't well defined or is too broad, I'm just having some difficulty finding the information I need. I also apologise if this should have been asked on stack ...
501 views

### In practice, what are the most useful ways to visualize 2d fluid flow, to tell what is happening in the simulation? Esp for verification and debugging

My simulation creates a 2d grid of vectors and scalars (EDIT of velocity, depth etc), at 60 frames per second. Is it correct? It looks sort of right... but who knows? How can I tell what's happening - ...
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### What would be a simple approach to validate a wave propagation code?

I have a linear elastic wave propagation code and an elastoplastic wave propagation code based on FEniCS. For now, I keep the 2D mesh (100, 100) fineness unit square and give a source wave of \$\sin(...
• 347
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### What should I put on the paper to show the correctness and convergence of my solution?

I am using FEM to do an assignment on a heat conduction problem on a complex domain, which needs me to get the variation of the temparature distribution subject to the variation of boundary conditions,...
• 679
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### Verification in Eigenvalue problems

Let us start with a problem of the form $$(\mathcal{L} + k^2) u=0$$ with a set of given boundary conditions (Dirichlet, Neumann, Robin, Periodic, Bloch-Periodic). This corresponds with finding the ...
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### Method of Manufactured Solutions for non-differentiable coefficients

The Method of manufactured is commonly used for verification of computational science codes. I want to use the method for verification of Navier-Cauchy (elasticity) equations with periodic and Bloch-...
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### Guidelines for choosing manufactured solutions for numerical PDE schemes

When testing a numerical method for a PDE, I know that it's often useful to compare it to a known analytical solution. If none is available, one can always 'manufacture' a solution, substitute it ...
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