Questions tagged [numerical-methods]
Questions concerning problems which cannot be exactly solved, or where the exact solution may be much more difficult to acquire than a solution by numerical methods.
52 questions
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Orifice Based Air Bearing (Pocket Compensated) Numerical Modelling
I am trying to numerically model (Finite Difference) an air bearing based on Orifice Pocket Compensation by solving the Reynolds Equation (Steady State and Static Condition of Moving plates) which ...
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FEM: Should I updates inner variable during iterations for Newton-Raphson's method?
When you apply Newton-Raphson's method for FEA about quasi static mechanical analysis, will you update all inner vaiables not only stress, strain, but also variables that depends on deformation path ...
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Deriving an analytical solution for a bar under distributed torsion
Okay, so I'm considering the torsion model given by this figure: I understand that the differential equation of such bar model is given as: $$\frac{\text{d}}{\text{d}y}\left[G(y)J(y)\frac{\text{d}\...
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144 views
Why is FEA used for structural analysis?
Is there a reason for using FEA to perform structural analysis over for example Finite volume method for example?
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CFD numerical methods (FEA, FVM, FDM,…)
I just read the answer from this question and have a question please: What I read: Computational Fluid Dynamics (CFD) refers to the use of the numerical techniques to solve fluid dynamical problems. ...
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Casting and the pressure of the metal
Background A gold casting process is explained here: The casting metal is melted in a special casting machine that is programmed to insert the metal under vacuum into the flask at the right time, ...
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815 views
Implementing convective boundary conditions for 1-dimensional finite difference computation of heat equation
I am simulating heat transfer through a 1-dimensional wall with convection on both sides. For the wall, I implemented a finite difference model like this: $$ u(x, t + ∆t) ≈ u(x, t) + c [u(x + ∆x, t) − ...
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1 vote
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70 views
Inverse analysis of one storey structure
The displacement history of one story structure is known due to an unknown ground motion. The dynamic properties, such as mass and lateral stiffness, are known, and dimensions were also given. How to ...
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951 views
How to develop the the Backward Euler method for a State Space
I have been trying to develop to solve a state space model in discrete time. I have the following equation for my state space: $$\dot{x} = Ax + Bu, $$ I am developping the equation, but I do not ...
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145 views
Structured trianglar finite element mesh in MATALB
The available triangular mesh in the MATLAB PDE tool box here gives an unstructured triangular mesh. How can I get a structured triangular mesh from the tool box with a similar data structure [p,e,t]. ...
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133 views
In FEM, can each instance of a Transient Analysis be thought of as a Static Analysis of its own?
Assume I have a cantilever beam fixed at one end. I can conduct a static analysis in FEM for a case where I apply a load on the other end, condition being the load is consistently applied on it and ...
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367 views
In FEM, what is the difference between a single element with a quadratic shape function and two elements with linear shape functions?
Using Finite Element Analysis to obtain a Weak form of a PDE, what is the difference between the two cases: A single element with a quadratic shape function Two elements with linear shape functions. ...
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Why does it take lesser iterations for a stiffer model in my FEA than a less stiffer model to converge?
I am currently using ANSYS FEA software and I conducted a simple geometric non-linear analysis of two same shaped bodies, but different cross sectional areas; one being quite bigger than the other. We ...
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1 vote
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79 views
Does numerical dissipation in FE simulations affect system's elastic energy? Does it depend on thickness?
I am running a finite-element simulation in Abaqus, for which I also have a theoretical model. To be precise, I am simulating wrinkling in a thin annular sheet, with shell elements. The model makes a ...
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1 vote
1 answer
126 views
Why is the amount of force/moment transfer occurring between bodies in FEA is independent of mesh size?
So I read somewhere that the mesh size won't effect the amount of force transfer occurring between bodies if several bodies are in contact, and a global force is applied somewhere. I wanted to know ...
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