Questions tagged [weno]
The weno tag has no usage guidance.
6
questions
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ENO-Runge-Kutta discretization
One beginner's question about discretization of a Hamilton-Jacobi equation(non-linear)
$$
u_t = H(u_x)
$$
$u_x$ is discreated with 2nd order ENO-FD
1st order: $D_1^{\pm}u = \pm [u_{x\pm1} - u_x ] / \...
- 1
0
votes
1
answer
109
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WENO scheme on the advection of a fluid in a compressible porous media
I am working on reactive transport and I need to solve this advection equation:
\begin{align}
\frac{\partial (\phi C)}{\partial t} = - \nabla \cdot \big(\vec{q}(\phi) C\big)
\end{align}
with $\phi$ ...
- 199
1
vote
1
answer
92
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Computing Jacobian in WENO scheme for advection in a porous media
I am trying to implement an advection equation for a coupled system of a two-phase flow in a porous media using a WENO scheme [1].
My equation is of the form:
\begin{align}
\frac{\partial (\phi(x,t) C(...
- 199
2
votes
2
answers
593
views
WENO Scheme for 1D linear advection equation
I have been stuck for a while now on a WENO scheme implementation and I have a few questions concerning the implementation, but also the theory behind it. For context: I'm currently working on ...
- 71
1
vote
1
answer
943
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How to implement Lax-Friedrich flux splitting with WENO scheme
I'm working on modeling a shock wave using the Euler equation with an advanced Equation of state and the fifth order WENO scheme. The equation are set up on the form:
\begin{equation}
\frac{\partial U}...
- 55
2
votes
1
answer
308
views
What exactly are WENO schemes and where are they used?
I am currently trying to understand what WENO schemes are and most of the literature on web talks about cell-face reconstruction. What I am unable to understand is the origin of these discontinuities ...
