How many boundary conditions should I have for a 2-D transient pde?

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SUMMARY

The discussion centers on determining the appropriate number of boundary conditions for a 2D advection problem, specifically when diffusion is not considered. The user has set an initial mass condition for a chemical element being transported from left to right and has specified a mass at the left boundary. It is concluded that a second boundary condition is necessary at the right boundary to ensure accurate modeling of the transport process.

PREREQUISITES
  • Understanding of 2D advection-diffusion equations
  • Familiarity with boundary condition concepts in partial differential equations
  • Knowledge of initial mass conditions in transport problems
  • Experience with numerical methods for solving PDEs
NEXT STEPS
  • Research the implementation of boundary conditions in 2D advection-diffusion problems
  • Explore numerical methods for solving partial differential equations
  • Learn about the significance of initial and boundary conditions in transport phenomena
  • Investigate software tools for simulating advection-diffusion processes
USEFUL FOR

Researchers, engineers, and students working on fluid dynamics, chemical transport modeling, or anyone involved in solving 2D partial differential equations.

bzz77
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Hello all:

I'm a newbie, trying to write/use code for solving a 2D advection-diffusion problem. I'm not sure how many boundary conditions I should have for the property that is being transported.

In my problem, I have diffusion switched off (advection only). The property being transported (from left to right) is a chemical element. I have its initial mass as an initial condition. I have specified its mass at the left boundary. Do I need a second boundary condition at the right?

Thanks for any advice.
 
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bzz77 said:
Hello all:

I'm a newbie, trying to write/use code for solving a 2D advection-diffusion problem. I'm not sure how many boundary conditions I should have for the property that is being transported.

In my problem, I have diffusion switched off (advection only). The property being transported (from left to right) is a chemical element. I have its initial mass as an initial condition. I have specified its mass at the left boundary. Do I need a second boundary condition at the right?

Thanks for any advice.

You should. If it is the iterative, then you will need to account for front and end conditions.
 

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