Cotter, Colin J. Compatible finite element methods for geophysical fluid dynamics. (English) Zbl 07736657 Acta Numerica 32, 291-393 (2023). MSC: 65-XX 65M60 65P10 65Z05 76U60 86A05 86A08 86A10 PDFBibTeX XMLCite \textit{C. J. Cotter}, Acta Numerica 32, 291--393 (2023; Zbl 07736657) Full Text: DOI arXiv
Tavares, Rodrigo S.; Santos, Renatha B.; Lima, Sidarta A.; dos Santos, Adriano; Klein, Viviane A multi-timestep Dirichlet-Neumann domain decomposition method applied to the polymer injection in porous media. (English) Zbl 1496.76088 Comput. Geosci. 26, No. 4, 757-778 (2022). MSC: 76M10 76S05 86A05 86-08 PDFBibTeX XMLCite \textit{R. S. Tavares} et al., Comput. Geosci. 26, No. 4, 757--778 (2022; Zbl 1496.76088) Full Text: DOI
Kyas, Svetlana; Volpatto, Diego; Saar, Martin O.; Leal, Allan M. M. Accelerated reactive transport simulations in heterogeneous porous media using Reaktoro and Firedrake. (English) Zbl 1485.86005 Comput. Geosci. 26, No. 2, 295-327 (2022). MSC: 86A05 68T05 76S05 76V05 PDFBibTeX XMLCite \textit{S. Kyas} et al., Comput. Geosci. 26, No. 2, 295--327 (2022; Zbl 1485.86005) Full Text: DOI arXiv
Lee, David; Palha, Artur Exact spatial and temporal balance of energy exchanges within a horizontally explicit/vertically implicit non-hydrostatic atmosphere. (English) Zbl 07512375 J. Comput. Phys. 440, Article ID 110432, 20 p. (2021). MSC: 65Mxx 65Nxx 86Axx PDFBibTeX XMLCite \textit{D. Lee} and \textit{A. Palha}, J. Comput. Phys. 440, Article ID 110432, 20 p. (2021; Zbl 07512375) Full Text: DOI arXiv
Wimmer, Golo A.; Cotter, Colin J.; Bauer, Werner Energy conserving SUPG methods for compatible finite element schemes in numerical weather prediction. (English) Zbl 1484.86005 SMAI J. Comput. Math. 7, 267-300 (2021). MSC: 86-08 65M60 86A10 PDFBibTeX XMLCite \textit{G. A. Wimmer} et al., SMAI J. Comput. Math. 7, 267--300 (2021; Zbl 1484.86005) Full Text: DOI arXiv
Pan, Shaoyuan; Yamaguchi, Yuya; Suppasri, Anawat; Moriguchi, Shuji; Terada, Kenjiro MPM-FEM hybrid method for granular mass-water interaction problems. (English) Zbl 1490.74111 Comput. Mech. 68, No. 1, 155-173 (2021). MSC: 74S05 74F10 74E20 74C15 76S05 76M10 86A05 PDFBibTeX XMLCite \textit{S. Pan} et al., Comput. Mech. 68, No. 1, 155--173 (2021; Zbl 1490.74111) Full Text: DOI
White, Laurent; Brandman, Jeremy; Trenev, Dimitar Consistency and local conservation in finite-element simulation of flow in porous media. (English) Zbl 1460.86008 Comput. Geosci. 25, No. 3, 1123-1138 (2021). MSC: 86-08 76S05 PDFBibTeX XMLCite \textit{L. White} et al., Comput. Geosci. 25, No. 3, 1123--1138 (2021; Zbl 1460.86008) Full Text: DOI
Gee, Bruce; Gracie, Robert Comparison of fully-coupled and sequential solution methodologies for enhanced geothermal systems. (English) Zbl 1506.86005 Comput. Methods Appl. Mech. Eng. 373, Article ID 113554, 30 p. (2021). MSC: 86A04 74S05 65N30 74A15 74F10 74L10 86A70 PDFBibTeX XMLCite \textit{B. Gee} and \textit{R. Gracie}, Comput. Methods Appl. Mech. Eng. 373, Article ID 113554, 30 p. (2021; Zbl 1506.86005) Full Text: DOI
Lee, David Petrov-Galerkin flux upwinding for mixed mimetic spectral elements, and its application to geophysical flow problems. (English) Zbl 1524.65562 Comput. Math. Appl. 89, 68-77 (2021). MSC: 65M60 65N30 76M10 86A05 86A10 65M70 76B15 76M20 65N35 PDFBibTeX XMLCite \textit{D. Lee}, Comput. Math. Appl. 89, 68--77 (2021; Zbl 1524.65562) Full Text: DOI arXiv
Hauck, Moritz; Aizinger, Vadym; Frank, Florian; Hajduk, Hennes; Rupp, Andreas Enriched Galerkin method for the shallow-water equations. (English) Zbl 1475.65122 GEM. Int. J. Geomath. 11, No. 1, Paper No. 31, 25 p. (2020). Reviewer: J. Manimaran (Ponda) MSC: 65M60 65L06 65N30 76B15 86A05 35Q35 35Q86 PDFBibTeX XMLCite \textit{M. Hauck} et al., GEM. Int. J. Geomath. 11, Paper No. 31, 25 p. (2020; Zbl 1475.65122) Full Text: DOI
Ravensbergen, M.; Helgedagsrud, T. A.; Bazilevs, Y.; Korobenko, A. A variational multiscale framework for atmospheric turbulent flows over complex environmental terrains. (English) Zbl 1506.86010 Comput. Methods Appl. Mech. Eng. 368, Article ID 113182, 25 p. (2020). MSC: 86A10 65D07 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{M. Ravensbergen} et al., Comput. Methods Appl. Mech. Eng. 368, Article ID 113182, 25 p. (2020; Zbl 1506.86010) Full Text: DOI
Wimmer, Golo A.; Cotter, Colin J.; Bauer, Werner Energy conserving upwinded compatible finite element schemes for the rotating shallow water equations. (English) Zbl 1453.65438 J. Comput. Phys. 401, Article ID 109016, 18 p. (2020). MSC: 65P10 65M60 86A10 76M10 PDFBibTeX XMLCite \textit{G. A. Wimmer} et al., J. Comput. Phys. 401, Article ID 109016, 18 p. (2020; Zbl 1453.65438) Full Text: DOI arXiv
Chekroun, Mickaël D.; Hong, Youngjoon; Temam, Roger M. Enriched numerical scheme for singularly perturbed barotropic quasi-geostrophic equations. (English) Zbl 1437.65209 J. Comput. Phys. 416, Article ID 109493, 27 p. (2020). MSC: 65N35 86A05 86A08 PDFBibTeX XMLCite \textit{M. D. Chekroun} et al., J. Comput. Phys. 416, Article ID 109493, 27 p. (2020; Zbl 1437.65209) Full Text: DOI
Hammond, Janelle K.; Chakir, R.; Bourquin, F.; Maday, Y. PBDW: a non-intrusive reduced basis data assimilation method and its application to an urban dispersion modeling framework. (English) Zbl 1481.86001 Appl. Math. Modelling 76, 1-25 (2019). MSC: 86A04 35Q86 65N08 PDFBibTeX XMLCite \textit{J. K. Hammond} et al., Appl. Math. Modelling 76, 1--25 (2019; Zbl 1481.86001) Full Text: DOI
Egidi, Nadaniela; Giacomini, Josephin; Maponi, Pierluigi Mathematical model to analyze the flow and heat transfer problem in U-shaped geothermal exchangers. (English) Zbl 1460.80008 Appl. Math. Modelling 61, 83-106 (2018). MSC: 80A19 76D05 80M10 76M10 86A60 80-05 80-10 PDFBibTeX XMLCite \textit{N. Egidi} et al., Appl. Math. Modelling 61, 83--106 (2018; Zbl 1460.80008) Full Text: DOI
Shipton, J.; Gibson, T. H.; Cotter, C. J. Higher-order compatible finite element schemes for the nonlinear rotating shallow water equations on the sphere. (English) Zbl 1416.86014 J. Comput. Phys. 375, 1121-1137 (2018). MSC: 86A10 86-08 65M60 76M10 PDFBibTeX XMLCite \textit{J. Shipton} et al., J. Comput. Phys. 375, 1121--1137 (2018; Zbl 1416.86014) Full Text: DOI arXiv
Touzani, R.; Alessio, L.; Kuzmichev, D.; Buoy, R. Finite element solution for a coal-bed methane reservoir model. (English) Zbl 07313836 Math. Comput. Simul. 137, 448-461 (2017). MSC: 76-XX 86-XX PDFBibTeX XMLCite \textit{R. Touzani} et al., Math. Comput. Simul. 137, 448--461 (2017; Zbl 07313836) Full Text: DOI
Jiménez, Stephen; Duddu, Ravindra; Bassis, Jeremy An updated-Lagrangian damage mechanics formulation for modeling the creeping flow and fracture of ice sheets. (English) Zbl 1439.74185 Comput. Methods Appl. Mech. Eng. 313, 406-432 (2017). MSC: 74L05 74R05 86A40 PDFBibTeX XMLCite \textit{S. Jiménez} et al., Comput. Methods Appl. Mech. Eng. 313, 406--432 (2017; Zbl 1439.74185) Full Text: DOI
Korobenko, A.; Yan, J.; Gohari, S. M. I.; Sarkar, S.; Bazilevs, Y. FSI simulation of two back-to-back wind turbines in atmospheric boundary layer flow. (English) Zbl 1390.86036 Comput. Fluids 158, 167-175 (2017). MSC: 86A10 86-08 76M25 74F10 76D10 76D25 PDFBibTeX XMLCite \textit{A. Korobenko} et al., Comput. Fluids 158, 167--175 (2017; Zbl 1390.86036) Full Text: DOI
Yan, J.; Deng, X.; Korobenko, A.; Bazilevs, Y. Free-surface flow modeling and simulation of horizontal-axis tidal-stream turbines. (English) Zbl 1390.86027 Comput. Fluids 158, 157-166 (2017). MSC: 86A05 PDFBibTeX XMLCite \textit{J. Yan} et al., Comput. Fluids 158, 157--166 (2017; Zbl 1390.86027) Full Text: DOI
Golshan, Roozbeh; Tejada-Martínez, Andrés E.; Juha, Mario J.; Bazilevs, Yuri LES and RANS simulation of wind- and wave-forced oceanic turbulent boundary layers in shallow water with wall modeling. (English) Zbl 1390.76154 Comput. Fluids 142, 96-108 (2017). MSC: 76F65 76F40 86A05 PDFBibTeX XMLCite \textit{R. Golshan} et al., Comput. Fluids 142, 96--108 (2017; Zbl 1390.76154) Full Text: DOI
Marras, Simone; Kelly, James F.; Moragues, Margarida; Müller, Andreas; Kopera, Michal A.; Vázquez, Mariano; Giraldo, Francis X.; Houzeaux, Guillaume; Jorba, Oriol A review of element-based Galerkin methods for numerical weather prediction: finite elements, spectral elements, and discontinuous Galerkin. (English) Zbl 1360.86004 Arch. Comput. Methods Eng. 23, No. 4, 673-722 (2016). MSC: 86-08 86A10 76M10 65M60 PDFBibTeX XMLCite \textit{S. Marras} et al., Arch. Comput. Methods Eng. 23, No. 4, 673--722 (2016; Zbl 1360.86004) Full Text: DOI Link
Marras, Simone; Giraldo, Francis X. A parameter-free dynamic alternative to hyper-viscosity for coupled transport equations: application to the simulation of 3D squall lines using spectral elements. (English) Zbl 1351.86003 J. Comput. Phys. 283, 360-373 (2015). MSC: 86-08 65M70 86A05 PDFBibTeX XMLCite \textit{S. Marras} and \textit{F. X. Giraldo}, J. Comput. Phys. 283, 360--373 (2015; Zbl 1351.86003) Full Text: DOI
Marras, Simone; Müller, Andreas; Giraldo, Francis X. Physics-based stabilization of spectral elements for 3D Euler equations of moist atmospheric convection. (English) Zbl 1352.35192 Kirby, Robert M. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2014. Selected papers from the ICOSAHOM conference, June 23–27, 2014, Salt Lake City, UT, USA. Cham: Springer (ISBN 978-3-319-19799-9/hbk; 978-3-319-19800-2/ebook). Lecture Notes in Computational Science and Engineering 106, 355-363 (2015). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q86 76E06 65M70 76F65 86A10 PDFBibTeX XMLCite \textit{S. Marras} et al., Lect. Notes Comput. Sci. Eng. 106, 355--363 (2015; Zbl 1352.35192) Full Text: DOI
Malekzadeh, Farshad A.; Dusseault, Maurice B. A solution for the transition zone isosats in two-phase primary drainage in the presence of gravity. (English) Zbl 1393.86009 Comput. Geosci. 17, No. 5, 757-771 (2013). MSC: 86A05 76S05 76T10 PDFBibTeX XMLCite \textit{F. A. Malekzadeh} and \textit{M. B. Dusseault}, Comput. Geosci. 17, No. 5, 757--771 (2013; Zbl 1393.86009) Full Text: DOI
Carpio, J.; Braack, M. The effect of numerical methods on the simulation of mid-ocean ridge hydrothermal models. (English) Zbl 1291.76198 Theor. Comput. Fluid Dyn. 26, No. 1-4, 225-243 (2012). MSC: 76M10 76S05 86A05 80A20 PDFBibTeX XMLCite \textit{J. Carpio} and \textit{M. Braack}, Theor. Comput. Fluid Dyn. 26, No. 1--4, 225--243 (2012; Zbl 1291.76198) Full Text: DOI
Nakshatrala, K. B.; Rajagopal, K. R. A numerical study of fluids with pressure-dependent viscosity flowing through a rigid porous medium. (English) Zbl 1308.76273 Int. J. Numer. Methods Fluids 67, No. 3, 342-368 (2011). MSC: 76S05 76M10 86A05 PDFBibTeX XMLCite \textit{K. B. Nakshatrala} and \textit{K. R. Rajagopal}, Int. J. Numer. Methods Fluids 67, No. 3, 342--368 (2011; Zbl 1308.76273) Full Text: DOI
Zhou, X. X.; Ghassemi, A.; Cheng, A. H.-D. A three-dimensional integral equation model for calculating poro- and thermoelastic stresses induced by cold water injection into a geothermal reservoir. (English) Zbl 1273.74196 Int. J. Numer. Anal. Methods Geomech. 33, No. 14, 1613-1640 (2009). MSC: 74L05 74F10 76S05 86A05 PDFBibTeX XMLCite \textit{X. X. Zhou} et al., Int. J. Numer. Anal. Methods Geomech. 33, No. 14, 1613--1640 (2009; Zbl 1273.74196) Full Text: DOI
Yin, Shunde; Dusseault, Maurice B.; Rothenburg, Leo Thermal reservoir modeling in petroleum geomechanics. (English) Zbl 1273.74092 Int. J. Numer. Anal. Methods Geomech. 33, No. 4, 449-485 (2009). MSC: 74F10 74F05 74S05 76S05 86A05 PDFBibTeX XMLCite \textit{S. Yin} et al., Int. J. Numer. Anal. Methods Geomech. 33, No. 4, 449--485 (2009; Zbl 1273.74092) Full Text: DOI
Picasso, Marco; Rappaz, Jacques; Reist, Adrian Numerical simulation of the motion of a three-dimensional glacier. (English) Zbl 1141.76038 Ann. Math. Blaise Pascal 15, No. 1, 1-28 (2008). MSC: 76M10 76A05 86A40 PDFBibTeX XMLCite \textit{M. Picasso} et al., Ann. Math. Blaise Pascal 15, No. 1, 1--28 (2008; Zbl 1141.76038) Full Text: DOI Numdam EuDML
Shimamura, Kenichiro; Kawahara, Mutsuto Optimal control of shallow water flow using time-delay function. (English) Zbl 1184.76641 Int. J. Comput. Fluid Dyn. 21, No. 5-6, 209-216 (2007). MSC: 76B75 76M10 86A05 PDFBibTeX XMLCite \textit{K. Shimamura} and \textit{M. Kawahara}, Int. J. Comput. Fluid Dyn. 21, No. 5--6, 209--216 (2007; Zbl 1184.76641) Full Text: DOI
Carbonel, Carlos A. A. H.; Galeão, Augusto C. N. A stabilized finite element model for the hydrothermodynamical simulation of the Rio de Janeiro coastal ocean. (English) Zbl 1246.76047 Commun. Numer. Methods Eng. 23, No. 6, 521-534 (2007). MSC: 76M10 76U05 86A05 80A20 PDFBibTeX XMLCite \textit{C. A. A. H. Carbonel} and \textit{A. C. N. Galeão}, Commun. Numer. Methods Eng. 23, No. 6, 521--534 (2007; Zbl 1246.76047) Full Text: DOI
Löhner, Rainald; Yang, Chi; Oñate, Eugenio On the simulation of flows with violent free surface motion. (English) Zbl 1122.76070 Comput. Methods Appl. Mech. Eng. 195, No. 41-43, 5597-5620 (2006). MSC: 76M25 76D33 86A05 PDFBibTeX XMLCite \textit{R. Löhner} et al., Comput. Methods Appl. Mech. Eng. 195, No. 41--43, 5597--5620 (2006; Zbl 1122.76070) Full Text: DOI Link
Truty, Andrzej; Zimmermann, Thomas Stabilized mixed finite element formulations for materially nonlinear partially saturated two-phase media. (English) Zbl 1116.74067 Comput. Methods Appl. Mech. Eng. 195, No. 13-16, 1517-1546 (2006). MSC: 74S05 74F10 76S05 86A05 PDFBibTeX XMLCite \textit{A. Truty} and \textit{T. Zimmermann}, Comput. Methods Appl. Mech. Eng. 195, No. 13--16, 1517--1546 (2006; Zbl 1116.74067) Full Text: DOI
Chacón Rebollo, T.; Rodríguez Gómez, D. A numerical solver for the primitive equations of the ocean using term-by-term stabilization. (English) Zbl 1072.76037 Appl. Numer. Math. 55, No. 1, 1-31 (2005). MSC: 76M10 76U05 86A05 86-08 PDFBibTeX XMLCite \textit{T. Chacón Rebollo} and \textit{D. Rodríguez Gómez}, Appl. Numer. Math. 55, No. 1, 1--31 (2005; Zbl 1072.76037) Full Text: DOI
Matsumoto, Junichi; Khan, Abdul A.; Wang, Sam S. Y.; Kawahara, Mutsuto Shallow water flow analysis with moving boundary technique using least-squares bubble function. (English) Zbl 1016.76052 Int. J. Comput. Fluid Dyn. 16, No. 2, 129-134 (2002). MSC: 76M10 76B15 86A05 PDFBibTeX XMLCite \textit{J. Matsumoto} et al., Int. J. Comput. Fluid Dyn. 16, No. 2, 129--134 (2002; Zbl 1016.76052) Full Text: DOI
Hauke, Guillermo A stabilized finite element method for the Saint-Venant equations with application to irrigation. (English) Zbl 1094.76535 Int. J. Numer. Methods Fluids 38, No. 10, 963-984 (2002). MSC: 76M10 76B15 86A05 PDFBibTeX XMLCite \textit{G. Hauke}, Int. J. Numer. Methods Fluids 38, No. 10, 963--984 (2002; Zbl 1094.76535) Full Text: DOI
Tabata, M.; Suzuki, A. A stabilized finite element method for the Rayleigh-Bénard equations with infinite Prandtl number in a spherical shell. (English) Zbl 0973.76056 Comput. Methods Appl. Mech. Eng. 190, No. 3-4, 387-402 (2000). MSC: 76M10 76R10 65M60 86A17 PDFBibTeX XMLCite \textit{M. Tabata} and \textit{A. Suzuki}, Comput. Methods Appl. Mech. Eng. 190, No. 3--4, 387--402 (2000; Zbl 0973.76056) Full Text: DOI
Malta, Sandra M. C.; Loula, Abimael F. D.; Garcia, Eduardo L. M. Numerical analysis of a stabilized finite element method for tracer injection simulations. (English) Zbl 0958.76044 Comput. Methods Appl. Mech. Eng. 187, No. 1-2, 119-136 (2000). MSC: 76M10 76S05 76R99 65M12 86A05 PDFBibTeX XMLCite \textit{S. M. C. Malta} et al., Comput. Methods Appl. Mech. Eng. 187, No. 1--2, 119--136 (2000; Zbl 0958.76044) Full Text: DOI
Du, Chongjiang An element-free Galerkin method for simulation of stationary two-dimensional shallow water flows in rivers. (English) Zbl 0966.76067 Comput. Methods Appl. Mech. Eng. 182, No. 1-2, 89-107 (2000). MSC: 76M25 76B15 86A05 PDFBibTeX XMLCite \textit{C. Du}, Comput. Methods Appl. Mech. Eng. 182, No. 1--2, 89--107 (2000; Zbl 0966.76067) Full Text: DOI
Sekine, Akiyoshi; Shimura, Masayuki; Maruoka, Akira; Hirano, Hirokazu The numerical simulation of snowdrift around a building. (English) Zbl 0964.76043 Int. J. Comput. Fluid Dyn. 12, No. 3-4, 249-255 (1999). MSC: 76M10 76T20 86A40 PDFBibTeX XMLCite \textit{A. Sekine} et al., Int. J. Comput. Fluid Dyn. 12, No. 3--4, 249--255 (1999; Zbl 0964.76043) Full Text: DOI
Sheng, Daichao; Smith, David W. Analytic solutions to the advective contaminant transport equation with nonlinear sorption. (English) Zbl 0969.76089 Int. J. Numer. Anal. Methods Geomech. 23, No. 9, 853-879 (1999). Reviewer: Gelu Paşa (Bucureşti) MSC: 76S05 86A05 PDFBibTeX XMLCite \textit{D. Sheng} and \textit{D. W. Smith}, Int. J. Numer. Anal. Methods Geomech. 23, No. 9, 853--879 (1999; Zbl 0969.76089) Full Text: DOI
Yu, L.; Geng, Z.; Roma, W. N. L.; Righetto, A. M.; Xiong, S. Two- and three-dimensional nested simulation by using FEM and FVA to analyze flows in an estuary. (English) Zbl 0987.86500 Math. Comput. Modelling 28, No. 11, 115-134 (1998). MSC: 86-08 86A05 76M10 76M12 PDFBibTeX XMLCite \textit{L. Yu} et al., Math. Comput. Modelling 28, No. 11, 115--134 (1998; Zbl 0987.86500) Full Text: DOI
Hager, W. H.; Hager, K.; Rappaz, J.; Caussignac, Ph. Non-linear diffusive flood routing. (English) Zbl 0588.76157 Acta Mech. 60, 181-198 (1986). MSC: 76R99 76M99 86A05 PDFBibTeX XMLCite \textit{W. H. Hager} et al., Acta Mech. 60, 181--198 (1986; Zbl 0588.76157) Full Text: DOI
Wikramaratna, R. S.; Wood, W. L. Control of spurious oscillations in the salt water intrusion problem. (English) Zbl 0537.76067 Int. J. Numer. Methods Eng. 19, 1243-1251 (1983). MSC: 76S05 76R10 86A05 76M99 PDFBibTeX XMLCite \textit{R. S. Wikramaratna} and \textit{W. L. Wood}, Int. J. Numer. Methods Eng. 19, 1243--1251 (1983; Zbl 0537.76067) Full Text: DOI