@article{fdi:010077481,
  title = {{C}ombined use of high-resolution numerical schemes to reduce numerical diffusion in coupled nonhydrostatic hydrodynamic and solute transport model},
  author = {{C}unha, {A}. {H}. {F}. and {F}ragoso, {C}. {R}. and {T}avares, {M}. {H}. and {C}avalcanti, {J}. {R}. and {B}onnet, {M}arie-{P}aule and {M}otta-{M}arques, {D}.},
  editor = {},
  language = {{ENG}},
  abstract = {{I}n three-dimensional simulations of free-surface flow where the vertical velocities are relevant, such as in lakes, estuaries, reservoirs, and coastal zones, a nonhydrostatic hydrodynamic approach may be necessary. {A}lthough the nonhydrostatic hydrodynamic approach improves the physical representation of pressure, acceleration and velocity fields, it is not free of numerical diffusion. {T}his numerical issue stems from the numerical solution employed in the advection and diffusion terms of the {R}eynolds-averaged {N}avier-{S}tokes ({RANS}) and solute transport equations. {T}he combined use of high-resolution schemes in coupled nonhydrostatic hydrodynamic and solute transport models is a promising alternative to minimize these numerical issues and determine the relationship between numerical diffusion in the two solutions. {W}e evaluated the numerical diffusion in three numerical experiments, for different purposes: {T}he first two experiments evaluated the potential for reducing numerical diffusion in a nonhydrostatic hydrodynamic solution, by applying a quadratic interpolator over a {B}ilinear, applied in the {E}ulerian-{L}agrangian method ({ELM}) step-ii interpolation, and the capability of representing the propagation of complex waves. {T}he third experiment evaluated the effect on numerical diffusion of using flux-limiter schemes over a first-order {U}pwind in solute transport solution, combined with the interpolation methods applied in a coupled hydrodynamic and solute transport model. {T}he high-resolution methods were able to substantially reduce the numerical diffusion in a solute transport problem. {T}his exercise showed that the numerical diffusion of a nonhydrostatic hydrodynamic solution has a major influence on the ability of the model to simulate stratified internal waves, indicating that high-resolution methods must be implemented in the numerical solution to properly simulate real situations.},
  keywords = {numerical diffusion ; {E}ulerian-{L}agrangian method ; interpolation ; flux ; limiter},
  booktitle = {},
  journal = {{W}ater},
  volume = {11},
  numero = {11},
  pages = {art. 2288 [24 p.]},
  year = {2019},
  DOI = {10.3390/w11112288},
  URL = {https://www.documentation.ird.fr/hor/fdi:010077481},
}