@@ -94,13 +94,13 @@ The thesis presents the following novel results:
We consider a model based on the Navier--Stokes equations (solved by LBM) coupled with a linear advection--diffusion equation (discretized using MHFEM) and analyze properties of the numerical scheme and performance of its implementation.
A simple benchmark problem with analytical solution is constructed in order to investigate accuracy of the scheme for conservative and non-conservative form of the transport equation.
The solver benefits from native implementation of both LBM and MHFEM for GPU accelerators, which allows for efficient coupling between the methods.
Our results are submitted for publication in the paper\cite{klinkovsky2022:WT}.
Our results are included in the publication\cite{klinkovsky2022:WT}.
\item
\textbf{Mathematical model for vapor transport in air and its validation using experimental data.}
The aforementioned coupled computational approach has been used to model transport of water vapor in the turbulent boundary layer above a disturbed soil surface.
While the porous medium below the surface is not simulated in this work, the interaction between soil and atmosphere such as evaporation is modeled using boundary conditions.
The model is compared both qualitatively and quantitatively to experimental data measured in three configurations resulting in different flow regimes.
Our results are submitted for publication in the paper\cite{klinkovsky2022:WT}.
Our results are included in the publication\cite{klinkovsky2022:WT}.
author={Klinkovský, Jakub and Trautz, Andrew C. and Fučík, Radek and Illangasekare, Tissa H.},
journal={Computers \& Mathematics with Applications},
title={Lattice {Boltzmann} method--based efficient {GPU} simulator for vapor transport in the boundary layer over a moist soil: development and experimental validation},
