The Burgers equation (u_{t}+u u_{x}=mu u_{x x}) is solved by the finite volume method on a one-dimensional

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The Burgers equation $u_{t}+u u_{x}=\mu u_{x x}$ is solved by the finite volume method on a one-dimensional grid with constant step $\Delta x$ (see Figure 5.5b). Develop the schemes based on the following principles.

a) Upwind interpolation for convective flux and linear interpolation for diffusive flux.

b) Linear interpolation for convective and diffusive fluxes.

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Essential Computational Fluid Dynamics

ISBN: 9781119474814

2nd Edition

Authors: Oleg Zikanov

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Question Posted: May 24, 2024 03:02 AM

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The Burgers equation (u_{t}+u u_{x}=mu u_{x x}) is solved by the finite volume method on a one-dimensional

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Essential Computational Fluid Dynamics

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