Yan, Z., X. Yang, S. Li., and M. Hilpert (2017). Two-relaxation-time lattice Boltzmann method and its application to advective-diffusive-reactive transport. Advances in Water Resources. Accepted.
Yan, Z., and M. Hilpert (2014). A multiple-relaxation-time lattice-Boltzmann model for bacterial chemotaxis: Effects of initial concentration, diffusion, and hydrodynamic dispersion on traveling bacterial bands. Bulletin of Mathematical Biology. DOI 10.1007/s11538-014-0020-1
Yan, Z., E.J. Bouwer, and M. Hilpert (2014). Coupled effects of chemotaxis and growth on traveling bacterial waves. Journal of Contaminant Hydrology 164: 138--152.
Long, W. and M. Hilpert (2008). Lattice-Boltzmann modeling of contaminant degradation by chemotactic bacteria: exploring the formation and movement of bacterial bands. Water Resources Research 44: W09415.
Long, W. and M. Hilpert (2007). Analytical solutions for bacterial energytaxis: traveling bacterial bands. Advances in Water Resources 30: 2262-2270.
Hilpert, M. (2005). Lattice-Boltzmann model for bacterial chemotaxis. Journal of Mathematical Biology 51: 302-332.