@article{fdi:010086459,
  title = {{G}eneric tool for numerical simulation of transformation-diffusion processes in complex volume geometric shapes : application to microbial decomposition of organic matter},
  author = {{M}onga, {O}livier and {H}echt, {F}. and {S}erge, {M}. and {K}lai, {M}. and {B}runo, {M}. and {D}ias, {J}. and {G}arnier, {P}. and {P}ot, {V}.},
  editor = {},
  language = {{ENG}},
  abstract = {{T}his paper presents a generic framework for the numerical simulation of transformation-diffusion processes in complex volume geometric shapes. {T}his work follows a previous one devoted to the simulation of microbial degradation of organic matter in porous system at microscopic scale using a graph based method. {T}he pore space is represented by an optimal ball network. {W}e generalized and improved the {MOSAIC} method significantly and thus yielded a much more generic and efficient numerical simulation scheme. {W}e proposed to improve the numerical explicit scheme presented in a previous paper by updating the valuated graph in parallel instead of sequentially. {F}rom this parallel numerical explicit scheme, we derived an implicit numerical scheme that very significantly reduced the computational cost of the simulation of the diffusion process. {W}e validated our method by comparing the results to the ones provided by classical {L}attice {B}oltzmann {M}ethod ({LBM}) within the context of microbial decomposition simulation. {F}or the same datasets, we obtained similar results in a significantly shorter computing time (i.e., 10-15 min) than the prior work (several hours). {B}esides the classical {LBM} method takes around 3 weeks computing time. {T}his paper presents through details the algorithmic and mathematical schemes used in a previous paper.},
  keywords = {computational {M}odeling ; {B}iological dynamics ; {P}ore space ; {C}omputational geometry ; {E}xplicit and implicit numerical scheme},
  booktitle = {},
  journal = {{C}omputers and {G}eosciences},
  volume = {169},
  numero = {},
  pages = {105240 [16 p.]},
  ISSN = {0098-3004},
  year = {2022},
  DOI = {10.1016/j.cageo.2022.105240},
  URL = {https://www.documentation.ird.fr/hor/fdi:010086459},
}