Modelling and Simulation in Fluid Dynamics in Porous Media [electronic resource] /
Ferreira, José A.editor.
Barbeiro, Sílvia.editor.
Pena, Gonçalo.editor.
Wheeler, Mary F.editor.
 This volume presents a selection of survey and research articles based on invited lectures and contributed talks presented at the Workshop on Fluid Dynamics in Porous Media that was held in Coimbra, Portugal, in September 12-14, 2011. The contributions are devoted to mathematical modeling, numerical simulation and their applications, providing the readers a state-of-the-art overview on the latest findings and new challenges on the topic. The book includes research work of worldwide recognized leaders in their respective fields and presents advances in both theory and applications, making it appealing to a vast range of audience, in particular mathematicians, engineers and physicists.
Description based upon print version of record.
Modelling and Simulation in Fluid Dynamics in Porous Media; Preface; Contents; Contributors; On the Coupling of Incompressible Stokes or Navier-Stokes and Darcy Flows Through Porous Media; 1 Introduction; 2 Theoretical Analysis; 2.1 Coupled Navier-Stokes and Darcy Systems; 2.2 Challenges; 2.3 Meaning of the Interface Conditions; 2.4 Variational Formulations; 2.5 ``Energy'' Equality and Analysis; 3 Discretization; 3.1 A Discontinuous Galerkin Method; 3.2 Decoupling by a Two-Grid Algorithm; 3.3 Discretization Based on a Mixed Formulation in the Porous Region
3.4 Decoupling with a Lagrange Multiplier4 Other Models; 4.1 The Beavers-Joseph Interface Condition; 4.2 Coupled Stokes and Brinkman Systems; 5 Numerical Examples; 5.1 Convergence Rates; 5.2 Polygonal Interface; References; Comparison of Control Volume Analysis and Porous Media Averaging for Formulation of Porous Media Transport; 1 Introduction; 2 Spontaneous Transport; 3 Porous Media Averaging; 3.1 Representative Elementary Volume-Averaging Rules; 3.2 Mass Equation; 3.3 Momentum Equation; 3.4 Energy Equation; 4 Control Volume Analyses; 4.1 Mass Equation; 4.2 Momentum Equation
4.3 Energy Equation5 Comparison of Porous Media Averaging and Control Volume Analysis; 5.1 Mass Equation; 5.2 Momentum Equation; 5.3 Energy Equation; 6 Discussions and Conclusions; Appendix; References; On the Energy Conservation Formulation for Flows in Porous Media Including Viscous Dissipation Effects; 1 Introduction; 2 Mass Conservation Equation; 3 Momentum, Kinetic, and Mechanical Energy Balance Equations; 4 Total (Mechanical Plus Internal) Energy Balance Equation; 5 Internal Energy Balance Equations; 6 Analysis, Notes, and Consequences of the Previous Equations
7 Thermal Energy Balance Equations8 Conclusions; Appendix; References; Analytical and Numerical Study of Memory Formalisms in Diffusion Processes; 1 Introduction; 2 The Model; 3 Energy Estimates for the Continuous Problem; 4 Energy Estimates for the Semi-discrete Approximation; 5 Error Estimates for the Semi-discrete Approximation; 6 Numerical Results; References; Super-diffusive Transport Processes in Porous Media; 1 Fractional Advection Diffusion Equation; 2 Exact Solutions; 3 Final Remarks; References; Stochastic Forecasting of Algae Blooms in Lakes; 1 Introduction; 2 Problem Formulation
3 Stochastic Models3.1 Fokker-Planck Equation; 3.2 PDF Method; 4 Results and Discussion; 5 Conclusions; References; Unfolding Method for the Homogenization of Bingham Flow; 1 Introduction; 2 Statement of the Problem and Preliminary Results; 3 Main Result; 4 Conclusion; References; An Integrated Capillary, Buoyancy, and Viscous-Driven Model for Brine/CO2 Relative Permeability in a Compositional and Parallel Reservoir Simulator; 1 Introduction; 2 Mathematical Formulations; 2.1 Effect of Salt on EOS Parameters; 2.2 Interfacial Tension; 2.3 Trapped Saturation and Trapping Number
2.4 Relative Permeability
Includes bibliographical references.
 This volume presents a selection of survey and research articles based on invited lectures and contributed talks presented at the Workshop on Fluid Dynamics in Porous Media that was held in Coimbra, Portugal, in September 12-14, 2011. The contributions are devoted to mathematical modeling, numerical simulation and their applications, providing the readers a state-of-the-art overview on the latest findings and new challenges on the topic. The book includes research work of worldwide recognized leaders in their respective fields and presents advances in both theory and applications, making it appealing to a vast range of audience, in particular mathematicians, engineers and physicists.
Mathematical optimization.
Geotechnical engineering.
Biomathematics.
Optimization.
Geotechnical Engineering & Applied Earth Sciences.
Physiological, Cellular and Medical Topics.