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### Hamiltonian simulation for hyperbolic partial differential equations by scalable quantum circuits
### Abstract
Differential equations are fundamental to understanding quantum systems, yet clas…
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Let's start with the advection equation in 1D
```
∂φ/∂t + u ∂φ/∂x = 0
```
where `u = constant` and `φ(x, t)` a tracer concentration.
- [ ] Start with a gaussian and advect it for time `t` s…
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Hi all, sure you've seen my slack messages.
`Trixi.jl` has a great user interface and it's very flexible. However, anyone who is visiting the `Trixi.jl` page and is actually using it for research…
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The intro of "A Gallery of finite element solvers" mentions advection-diffusion-reaction equations as a final example, I was wondering whether this might be added anytime soon?
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Does anyone know where is the code of Advection Diffusion Equation Inverse Problem in the paper?
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The glow velocity (v_k) in figure 1 is the solution of your network? What is the relationship of v with velocity state like u10 or v10?
plyu3 updated
3 weeks ago
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### Use Case
There is a need to include symbolic manipulation into `svFSIplus` for custom implementations of the advection-reaction-diffusion equation (and potentially future constitutive models). Se…
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All of our parallel advection operators use Lax flux to combat checkerboarding. The strength of this is driven by a characteristic speed, for example in momentum advection:
https://github.com/bendud…
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**Goal:**
to enable to trace DOC/DON (or other constituents) from land models
**Urgency:**
months to a year
**Background:**
Use advection-dispersion equation
dC/dt = -U*dC/dx + D*d2C/dx2…
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The equation of the Advection Factor was not found in the literature. AF = 1+0.985*EF*exp[0.08*VPD-3]
Could you please share with me the relevant literature about the advection factor？
Thanks …