Modeling and Simulating an Advanced Dissolved Organic Carbon Removal Process Sunyoung Bu1, Dr. Jingfang Huang1, Dr. Treavor H. Boyer2 , Dr. Cass T. Miller3 University of North Carolina at Chapel Hill, Department of Mathematics University of Florida,

1
Modeling and Simulating an Advanced Dissolved
Organic Carbon Removal ProcessSunyoung Bu1, Dr.
Jingfang Huang1, Dr. Treavor H. Boyer2 , Dr. Cass
T. Miller3 University of North Carolina at
Chapel Hill, Department of MathematicsUniversity
of Florida, Department of Environment science and
engineeringUniversity of North Carolina at
Chapel Hill, Department of Environment science
and engineering
Objectives
Numerical Results
Krylov Deferred Correction Methods
Consider PDEs of the form First, discretize in
time using Gaussian nodes, and define The
discretize high-order formulation is

• Develop new age averaged model (AAM)
• Apply SI-KDC methods to original model and AAM
• Compare SI-KDC methods with existing methods
  based on the FEM

2. Original Model
Two scale Model
3. Validate Age-Averaged Model
Fast Elliptic Solver
1. Microscale Model
2. Macroscale Model
where Tm is the chebyshev polynomial of degree m
defined as
where
Numerical Results
4. Age-Averaged Model
where
1. With Constant Boundary condition
Age Averaged Model (AAM)
Current Work

• Apply KDC scheme to Richards equation
• Extract Sharp front
• Adaptive mesh in temporal and spatial directions

The University of North Carolina at Chapel
Hill