Questions tagged [weno]

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Can finite-difference WENO schemes be used to solve non-conservative equations?

Finite difference WENO scheme is considered a conservative methods, which is used to solving hyperbolic conservation law. But what happens if we apply it to non-conservative equations? Such as Linear ...
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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 $\phi$ ...
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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(...
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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 ...
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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}...
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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 ...
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