Plotting a 3D finition with 1D implicite variable

1 次查看(过去 30 天)
Hello! I have a 3D advection-dispersion équation as follows: dC/dt = Dx *d^2C/dx^2 + Dy *d^2C/dy^2 + Dz *d^2C/dz^2 - vx *dC/dx - vy *dC/dy - vy *dC/dz -mu*C. When using change of variable e.g. X = a*x + b*y + c*z i obtained a 1D advection-dispersion équation: dC/dt = D *d^2C/dX^2 - V*dC/dX -mu*C. The solution si in the form C(X,t) = exp((V/2D)*X+√V^2 + 4*D*mu)*erfc((X+√ 4*D*mu)/2√D*t).My problème si that i wanted to plot thé concentration C with respect to x, y, ans z for fixes values of other variables. How Can i do or in MATLAB knowing that the solution si expressed in term of X???
  2 个评论
KSSV
KSSV 2022-7-18
DEfine your variables, write the formula; substitude the variables in the formula and plot.
Torsten
Torsten 2022-7-18
编辑:Torsten 2022-7-18
I have a 3D advection-dispersion équation as follows: dC/dt = Dx *d^2C/dx^2 + Dy *d^2C/dy^2 + Dz *d^2C/dz^2 - vx *dC/dx - vy *dC/dy - vy *dC/dz -mu*C. When using change of variable e.g. X = a*x + b*y + c*z i obtained a 1D advection-dispersion équation: dC/dt = D *d^2C/dX^2 - V*dC/dX -mu*C.
Many people would be very happy if this worked, but such a magic transformation does not exist. Unfortunately.

请先登录,再进行评论。

回答(0 个)

类别

Help CenterFile Exchange 中查找有关 Geometry and Mesh 的更多信息

标签

产品


版本

R2018b

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by