Complete list of papers (last updated 2020/02/07):
12. G. Hernandez-Duenas, S. Stechmann and L. Smith. Weak- and Strong- Friction Limits of Parcel Models: Comparisons and Stochastic Con- vective Initiation Time. Quarterly Journal of the Royal Meteorological Society (2019).
11. G. Hernandez-Duenas, Ulises Velasco-García and Jorge Velasco Hernández. A positivity-preserving central-upwind scheme for isentropic two- phaseflows through deviated pipes. ESAIM: Mathematical Modelling and Numerical Analysis(2019).
10. G. Hernandez-Duenas. A Hybrid Method to Solve Shallow Water Flows with Horizontal Density Gradients. Journal of Scientific Com- puting(2017), Volume 73 (2-3) pp 753-782.
9. G. Hernandez-Duenas and Abdelaziz Beljadid.
A central-upwind scheme with artificial viscosity for shallow-water flows in channels. Advances in Water Resources 96 (2016) 323-338.
Figure: Schematic of channel in numerical experiment of dam break
8. G. Hernandez-Duenas, Leslie M. Smith, and Samuel N. Stechmann. Stability and instability criteria for idealized precipitating hydrodynamics. Journal of Atmospheric Sciences, Vol 72, No. 6 (2015), pp. 2379-2393.
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Figure: Growth rates versus horizontal wavenumbers for different values of rainfall speed.
7. G. Hernandez-Duenas and Alejandro Uribe. Algebras of semiclassical pseudodifferential operators associated with Zoll-type domains in cotangent bundle. Journal of Functional Analysis, 268 no. 7 (2015), pp. 1755-1807.Paper
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Figure: Propagation of a coherent state in a Zoll-type domain.
6. Jorge Balbás and G. Hernandez-Duenas. A Positivity Preserving Central Scheme for Shallow Water Flows in Channels with Wet-Dry States. ESIAM: Mathematical Modelling and Numerical Analysis (M2AN) 48 (2014) 665-696.
Figure: Dam break simulati