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To move in some direction (as a fluid does in a pipe). Often contrasted with diffusion, which is a spreading out without necessarily having any movement of the field as a whole.

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### Corner Transport Upwind for Linear Advection in Arbitrary Velocity Field

I need to implement a 3D version of the Corner Transport Upwind (CTU) finite volume method (in python); and so I've been reading Leveque, "Finite Volume Methods for Hyperbolic Problems" which I think ...
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I have a 2D (x,y) scalar advection problem that describes net blowing snow ($q$) transport at a point. This takes the form $$q = A - F*\nabla\cdot(q {\bf \hat u}),$$ where A ($kg\cdot m^{-2}\cdot s^{... 0answers 181 views ### Spherical Advection Discretization (boundary nodes) Consider the spherical advection problem: describing the conservation of a property$u$in a closed spherical domain. $$\frac{\partial u}{\partial t}+\frac{1}{r^2}\frac{\partial }{\partial r}\left(r^... 0answers 60 views ### Direction-splitting for SSP-RK schemes What are the implications of applying a direction-splitting within each stage of an SSP-RK scheme? For instance, given a standard advective transport type equation:$$ \partial_{t}Q + \operatorname{... 0answers 234 views ### Numerical solution of non-linear advection equation other than inviscid burgers I am solving a non-linear advection equation of the form$u_t + f(u)_x = 0$where$f(u)$is a complicated function of$u$. I am solving this equation using a first order fully implicit scheme (... 0answers 495 views ### How to solve advection equation using semi-lagrangian method? I am working on something that involves solving an advection equation$\partial{x}/\partial{t}+\vec{u}\cdot\nabla{x}=0$in 3D. I discretized the space into 3d cartesian grid and used the Semi-... 0answers 36 views ### Is semi-Lagrangian 1D advection identical to upwind Euler, when$|u|<\Delta x/\Delta t\$?

This looked true to me, I worked through the algebra for 1D and confirmed it. But no one seems to mention it, so maybe I'm missing something... I'm using Bridson's SIGGRAPH 2007 course notes. [5MB ...
The Advection equation (with velocity = 1) is $${\partial u \over \partial x} + {\partial u \over \partial t} = 0$$ I am trying to solve the equation with periodic BC. One of the ways to numerically ...