Maximum Principle and Local Mass Balance for Numerical Solutions of Transport Equation Coupled with Variable Density Flow

@inproceedings{Frolkovic1998MaximumPA,
  title={Maximum Principle and Local Mass Balance for Numerical Solutions of Transport Equation Coupled with Variable Density Flow},
  author={Peter Frolkovic},
  year={1998}
}
Abstract. A parabolic convection-diffusion equation of the transport in porous media strongly coupled with a flow equation through a variable fluid density is studied from the point of view of the qualitative properties of numerical solution. A numerical discretization is based on “node-centered” finite volume methods with a clear form for a local mass balance property. Numerical solutions of the discrete conservation laws fulfill a discrete maximum (and minimum) principle. The presented… CONTINUE READING