These biases imply that mixing depths may locally be too shallow in large-scale simulations without proper handling of heterogeneous boundary conditions during convective events; also the grid cell averaged density may be vertically homogenized within the shallow boundary layer.
We assume that the field is dipolar, ignoring the complicating influences of shell thickness and heterogeneous boundary conditions (e.g., Heimpel et al., 2005; Aubert et al., 2009; Driscoll and Olson, 2009; Olson et al., 2014).
By matching predicted and experimental deposition rates, the heterogeneous reaction boundary condition is determined and applied to the substrate.
Heterogeneous upper boundary conditions should be taken into account when studying the fate of micropollutants in infiltration facilities with either mathematical modeling or soil coring field surveys.
The effects of such heterogeneous surface boundary conditions are explored by comparing coarse resolution models with three common parameterizations for mixing and deep convection with large eddy simulations (LES) of free convection in idealized scenarios.
For the fixed radial-movement boundary condition, heterogeneous deformation occurs due to the fixed boundary condition.
As changes to requirements can have a wide impact on the distributed and partly independent working development teams, requirements and goals as well as their heterogeneous interrelations and boundary conditions have to be modelled as a continuous system of objectives.
Predicting water table depth over the long-term in agricultural areas presents great challenges because these areas have complex and heterogeneous hydrogeological characteristics, boundary conditions, and human activities; also, nonlinear interactions occur among these factors.
For the case when the porous medium is heterogeneous or the boundary conditions is more complex, comparing with the mesh-independent solution, this approach requires only coarser mesh to arrive at this solution while the traditional methods require more denser mesh.
Specifically, the nonlinear boundary condition resulting from the heterogeneous chemical reaction is expanded in an infinite series.
