Literatura académica sobre el tema "Heterogenous conservation laws"
Crea una cita precisa en los estilos APA, MLA, Chicago, Harvard y otros
Consulte las listas temáticas de artículos, libros, tesis, actas de conferencias y otras fuentes académicas sobre el tema "Heterogenous conservation laws".
Junto a cada fuente en la lista de referencias hay un botón "Agregar a la bibliografía". Pulsa este botón, y generaremos automáticamente la referencia bibliográfica para la obra elegida en el estilo de cita que necesites: APA, MLA, Harvard, Vancouver, Chicago, etc.
También puede descargar el texto completo de la publicación académica en formato pdf y leer en línea su resumen siempre que esté disponible en los metadatos.
Artículos de revistas sobre el tema "Heterogenous conservation laws":
Dalibard, Anne-Laure. "Kinetic formulation for heterogeneous scalar conservation laws". Annales de l'Institut Henri Poincare (C) Non Linear Analysis 23, n.º 4 (julio de 2006): 475–98. http://dx.doi.org/10.1016/j.anihpc.2005.05.005.
Mitrović, Darko y Andrej Novak. "Transport-collapse scheme for heterogeneous scalar conservation laws". Journal of Hyperbolic Differential Equations 15, n.º 01 (marzo de 2018): 119–32. http://dx.doi.org/10.1142/s0219891618500042.
Lv, Guangying y Jiang-Lun Wu. "Heterogeneous stochastic scalar conservation laws with non-homogeneous Dirichlet boundary conditions". Journal of Hyperbolic Differential Equations 15, n.º 02 (junio de 2018): 291–328. http://dx.doi.org/10.1142/s021989161850011x.
ADIMURTHI, SIDDHARTHA MISHRA y G. D. VEERAPPA GOWDA. "OPTIMAL ENTROPY SOLUTIONS FOR CONSERVATION LAWS WITH DISCONTINUOUS FLUX-FUNCTIONS". Journal of Hyperbolic Differential Equations 02, n.º 04 (diciembre de 2005): 783–837. http://dx.doi.org/10.1142/s0219891605000622.
Ibragimov, N. H. y Raisa Khamitova. "Conservation Laws in Thomas's Model of Ion Exchange in a Heterogeneous Solution". Interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity 2, n.º 2 (junio de 2013): 147–58. http://dx.doi.org/10.5890/dnc.2013.04.004.
Aleksić, Jelena. "Gauss kernel method for generalized solutions to conservation laws in heterogeneous media". Integral Transforms and Special Functions 22, n.º 4-5 (mayo de 2011): 247–54. http://dx.doi.org/10.1080/10652469.2010.541034.
Sandrakov, Gennadiy. "Modeling of Heterogeneous Hydrodynamics Processes with Phase Transition". Modeling, Control and Information Technologies, n.º 3 (6 de noviembre de 2019): 67–68. http://dx.doi.org/10.31713/mcit.2019.18.
Aleksić, Jelena, Darko Mitrovic y Stevan Pilipović. "Hyperbolic conservation laws with vanishing nonlinear diffusion and linear dispersion in heterogeneous media". Journal of Evolution Equations 9, n.º 4 (26 de agosto de 2009): 809–28. http://dx.doi.org/10.1007/s00028-009-0035-5.
Sandrakov, Gennadiy. "A Modified Method for Modeling of Heterogeneous Hydrodynamics Processes". Modeling, Control and Information Technologies, n.º 4 (22 de octubre de 2020): 63–66. http://dx.doi.org/10.31713/mcit.2020.06.
Torrisi, Mariano y Rita Tracinà. "Symmetries and Conservation Laws for a Class of Fourth-Order Reaction–Diffusion–Advection Equations". Symmetry 15, n.º 10 (19 de octubre de 2023): 1936. http://dx.doi.org/10.3390/sym15101936.
Tesis sobre el tema "Heterogenous conservation laws":
Sylla, Abraham. "Hétérogénéité dans les lois de conservation scalaires : approximation et applications". Electronic Thesis or Diss., Tours, 2021. http://www.theses.fr/2021TOUR4011.
This thesis is devoted to the treatment of heterogeneity in scalar conservation laws. We call heterogeneous a conservation which is not invariant by spacetranslation. These equations arise for instance in traffic flow dynamics modeling. The presence of traffic lights or roads that have a variable maximum speed limitare examples of mechanisms which lead to heterogeneous conservation laws. Considering such equations is a way to expand macroscopic traffic flow models. We tacklethree classes of inhomogeneous problems for which we extend the mathematical framework for both the theorical analysis and the numerical approximation.We fully investigate the treatment of heterogeneity when one or several moving interfaces are added in the classic LWR model for traffic flow. Flux constraintsare attached to each interfaces. The resulting class of models can be used to take into account the presence of slow moving vehicles that reduce the road capacityand thus generates a moving bottleneck for the surrounding traffic flow. They can also describe the regulating effect of autonomous vehicles. In this framework,the interfaces and the constraints are linked in a nonlocal way to the traffic density and/or to an orderliness marker describing the state of the drivers. Thedescription of the heterogeneity caused by the variations in the drivers' organization leads to the analysis of a so called second order model. The numericalaspect plays a central role in the analysis of these traffic flow models. We construct robust numerical schemes and establish specific techniques to obtaincompactness of the approximate solutions. Proving convergence of these schemes leads to existence results.Finally, with the space-dependent LWR traffic flow model in mind, we theoretically analyze a class of scalar conservation laws with explicit space dependency.Classical results such as well-posedness or the link to the associated Hamilton-Jacobi equation are obtained under a set of assumptions better fitting themodeling hypothesis. With applications that go beyond traffic modeling in mind, we aim to tackle initial data identification problems
Fogarty, Tiernan. "Finite volume methods for acoustics and elasto-plasticity with damage in a heterogeneous medium /". Thesis, Connect to this title online; UW restricted, 2001. http://hdl.handle.net/1773/6751.
Jelena, Aleksić. "Zakoni održanja u heterogenim sredinama". Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 2009. https://www.cris.uns.ac.rs/record.jsf?recordId=6026&source=NDLTD&language=en.
Doctoral theses is dedicated to solving nonlinear hyperbolic scalar conservation laws in heterogeneous media, by studying compactness properties of the family of solutions to approximate problems. More precise, in order to obtain solution u = u(t; x) to the problem @ t u + divx f (t; x; u) = 0; uj t=0 = u 0 (x); (4.18) where x 2 R d and t 2 R+, we study the solutions of the families of problems that, in some way, approximate previously mentioned problem, which we know how to solve. We call those solutions approximate solutions. The aim is to show that the obtained family is in some sense precompact, i.e. has convergent subsequence that solves the problem (4.18).
Lopes, Tuane Vanessa. "Simulação numérica tridimensional para escoamentos em reservatórios de petróleo heterogêneos". Laboratório Nacional de Computação Científica, 2012. http://www.lncc.br/tdmc/tde_busca/arquivo.php?codArquivo=243.
Multiphase flows in porous media are modeled by a system of partial differential equations and the study of the numerical approximation to the solutions of these plays a crucial role in the simulation and prediction of problems that are of great practical interest and of economic and social impact, such as secondary oil recovery, geological storage of CO2 and transport of pollutants in aquifers. The goal of this work is the development of a three-dimensional numerical simulator that precisely evaluates the transport of two immiscible fluids in a heterogeneous porous media using multithread parallel programming to shared memory multiprocessors computers. The system of partial differential equations is decomposed into a elliptic subsystem used to determine the velocity field and into a hyperbolic equation (nonlinear) to determine the transport of the fluid phases. The approximation to the solution of the latter one is calculated using a high order non-oscillatory finite-differences numerical method based on central schemes that allows a semi-discrete formulation which an extension that enables to work with variable space coefficients. Numerical experiments on three-dimensional models were performed considering linear and nonlinear flow problems in typical settings of oil reservoirs simulations. The results were satisfactory since they presented mass conservation, precise capture of shock waves and small numeric diffusion, regardless of the time step.
Pereira, Thiago Jordem. "Uma nova abordagem numérica para a injeção de traçadores em reservatórios de petróleo". Universidade do Estado do Rio de Janeiro, 2008. http://www.bdtd.uerj.br/tde_busca/arquivo.php?codArquivo=768.
The injection of tracers are used in the investigation of flows in heterogeneous porous media, in studies related to the simulation of miscible dispacements in petroleum reservoirs and the dispersion of contaminants in aquifers. In this work we present new algorithms for the numerical approximation of tracer injection problems. We discuss recent developments of the Forward Integral-Tube Tracking (FIT) scheme which was introduced in Aquino et al. (2007a). The FIT is a locally conservative lagrangian scheme for the approximation of the linear transport problems. This scheme does not use analytic solutions of Riemann problems and is based on the construction of the integral tubes introduced in Douglas Jr. et al. (2000b). The FIT scheme is computationally very eficient and is virtually free of numerical diffusion. Numerical results are presented to compare the accuracy of the solutions provided by new implementation of the FIT scheme for the injection of tracers in petroleum reservoirs.
Abreu, Eduardo Cardoso de. "Modelagem e simulação computacional de escoamentos trifásicos em reservatórios de petróleo heterogêneos". Universidade do Estado do Rio de Janeiro, 2007. http://www.bdtd.uerj.br/tde_busca/arquivo.php?codArquivo=765.
Neste trabalho é apresentado um novo método acurado com passo de tempo fracionário, baseado em uma técnica de decomposição de operadores, para a solução numérica de um sistema governante de equações diferenciais parciais que modela escoamento trifásico água-gás-óleo imiscível em reservatórios de petróleo heterogêneos no qual os efeitos de compressibilidade do gás não foram levados em conta. A técnica de decomposição de operadores em dois níveis permite o uso de passos de tempo distintos para os três problemas definidos pelo procedimento de decomposição: convecção, difusão e pressão-velocidade. Um sistema hiperbólico de leis de conservação que modela o transporte convectivo das fases fluidas é aproximado por um esquema central de diferenças finitas explícito, conservativo, não oscilatório e de segunda ordem. Este esquema é combinado com elementos finitos mistos, localmente conservativos, para a aproximação numérica dos sistemas de equações parabólico e elíptico associados aos problemas de transporte difusivo e de pressão-velocidade, respectivamente. O operador temporal associado ao sistema parabólico é resolvido fazendo-se uso de uma estratégia implícita de solução (Backward Euler). O modelo matemático para escoamento trifásico considerado neste trabalho leva em conta as forças de capilaridade e expressões gerais para as funções de permeabilidade relativa, campos variáveis de porosidade e de permeabilidade e os efeitos da gravidade. A escolha de expressões gerais para as funções de permeabilidade relativa pode levar à perda de hiperbolicidade escrita e, desta maneira, à existência de uma região elíptica ou de pontos umbílicos para o sistema não linear de leis de conservação hiperbólicas que descreve o transporte convectivo das fases fluidas. Como consequência, a perda de hiperbolicidade pode levar à existência de choques não clássicos (também chamados de choques transicionais ou choques subcompressivos) nas soluções de escoamentos trifásicos. O novo procedimento numérico foi usado para investigar a existência e a estabilidade de choques não clássicos, com respeito ao fenômeno de fingering viscoso, em problemas de escoamentos trifásicos bidimensionais em reservatórios heterogêneos, estendendo deste modo resultados disponíveis na literatura para problemas de escoamentos trifásicos unidimensionais. Experimentos numéricos, incluindo o estudo de estratégias de injeção alternada de água e gás (Water-Alternating-Gas (WAG)), indicam que o novo procedimento numérico proposto conduz com eficiência computacional a resultados numéricos com precisão. Perspectivas para trabalhos de pesquisa futuros são também discutidas, tomando como base os desenvolvimentos reportados nesta tese.
We present a new, accurate fractional time-step method based on an operator splitting technique for the numerical solution of a system of partial differential equations modeling three-phase immiscible water-gas-oil flow problems in heterogeneous petroleum reservoirs in which the compressibility effects of the gas was not take into account. A two-level operator splitting technique allows for the use of distinct time steps for the three problems defined by the splitting procedure: convection, diffusion and pressure-velocity. A system of hyperbolic conservation laws modelling the convective transport of the fluid phases is approximated by a high resolution, nonoscillatory, second-order, conservative central difference scheme in the convection step. This scheme is combined with locally conservative mixed finite elements for the numerical solution of the parabolic and elliptic problems associated with the diffusive transport of fluid phases and the pressure-velocity problem, respectively. The time discretization of the parabolic problem is performed by means of the implicit backward Euler method. The mathematical model for the three-phase flow considered in this work takes into account capillary forces and general expressions for the relative permeability functions, variable porosity and permeability fields, and the effect of gravity. The choice of general expressions for the relative permeability functions may lead to the loss of strict hyperbolicity and, therefore, to the existence of an elliptic region of umbilic points for the systems of nonlinear hyperbolic conservation laws describing the convective transport of the fluid phases. As a consequence, the loss of hyperbolicity may lead to the existence of nonclassical shocks (also called transitional shocks or undercompressive shocks) in three-phase flow solutions. The numerical procedure was used in an investigation of the existence and stability of nonclassical shocks with respect to viscous fingering in heterogeneous two-dimensional flows, thereby extending previous results for one-dimensional three-phase flow available in the literature. Numerical experiments, including the study of Water-Alternating-Gas (WAG) injection strategies, indicate that the proposed new numerical procedure leads to computational efficiency and accurate numerical results. Directions for further research are also discussed, based on the developments reported in this thesis.
Souza, Grazione de. "Modelagem computacional de escoamentos com duas e três fases em reservatórios petrolíferos heterogêneos". Universidade do Estado do Rio de Janeiro, 2008. http://www.bdtd.uerj.br/tde_busca/arquivo.php?codArquivo=711.
Considera-se neste trabalho um modelo matemático para escoamentos com duas e três fases em reservatórios petrolíferos e a modelagem computacional do sistema de equações governantes para a sua solução numérica. Os fluidos são imiscíveis e incompressíveis e as heterogeneidades da rocha reservatório são modeladas estocasticamente. Além disso, é modelado o fenômeno de histerese para a fase óleo via funções de permeabilidades relativas. No caso de escoamentos trifásicos água-óleo-gás a escolha de expressões gerais para as funções de permeabilidades relativas pode levar à perda de hiperbolicidade estrita e, desta maneira, à existência de uma região elíptica ou de pontos umbílicos para o sistema não linear de leis de conservação hiperbólicas que descreve o transporte convectivo das fases fluidas. Como conseqüência, a perda de hiperbolicidade estrita pode levar à existência de choques não clássicos (também chamados de choques transicionais ou choques subcompressivos) nas soluções de escoamentos trifásicos, de difícil simulação numérica. Indica-se um método numérico com passo de tempo fracionário, baseado em uma técnica de decomposição de operadores, para a solução numérica do sistema governante de equações diferenciais parciais que modela o escoamento bifásico água-óleo imiscível em reservatórios de petróleo heterogêneos. Um simulador numérico bifásico água-óleo eficiente desenvolvido pelo grupo de pesquisa no qual o autor está inserido foi modificado com sucesso para incorporar a histerese sob as hipóteses consideradas. Os resultados numéricos obtidos para este caso indicam fortes evidências que o método proposto pode ser estendido para o caso trifásico água-óleo-gás. A técnica de decomposição de operadores em dois níveis permite o uso de passos de tempo distintos para os quatro problemas definidos pelo procedimento de decomposição: convecção, difusão, pressão-velocidade e relaxação para histerese. O problema de transporte convectivo (hiperbólico) das fases fluidas é aproximado por um esquema central de diferenças finitas explícito, conservativo, não oscilatório e de segunda ordem. Este esquema é combinado com elementos finitos mistos, localmente conservativos, para a aproximação dos problemas de transporte difusivo (parabólico) e de pressão-velocidade (elíptico). O operador temporal associado ao problema parabólico de difusão é resolvido fazendo-se uso de uma estratégia implícita de solução (Backward Euler). Uma equação diferencial ordinária é resolvida (analiticamente) para a relaxação relacionada à histerese. Resultados numéricos para o problema bifásico água-óleo em uma dimensão espacial em concordância com resultados semi-analíticos disponíveis na literatura foram reproduzidos e novos resultados em meios heterogêneos, em duas dimensões espaciais, são apresentados e a extensão desta técnica para o caso de problemas trifásicos água-óleo-gás é proposta.
We consider in this work a mathematical model for two- and three-phase flow problems in petroleum reservoirs and the computational modeling of the governing equations for its numerical solution. We consider two- (water-oil) and three-phase (water-gas-oil) incompressible, immiscible flow problems and the reservoir rock is considered to be heterogeneous. In our model, we also take into account the hysteresis effects in the oil relative permeability functions. In the case of three-phase flow, the choice of general expressions for the relative permeability functions may lead to the loss of strict hyperbolicity and, therefore, to the existence of an elliptic region or umbilic points for the system of nonlinear hyperbolic conservation laws describing the convective transport of the fluid phases. As a consequence, the loss of hyperbolicity may lead to the existence of nonclassical shocks (also called transitional shocks or undercompressive shocks) in three-phase flow solutions. We present a new, accurate fractional time-step method based on an operator splitting technique for the numerical solution of a system of partial differential equations modeling two-phase, immiscible water-oil flow problems in heterogeneous petroleum reservoirs. An efficient two-phase water-oil numerical simulator developed by our research group was sucessfuly extended to take into account hysteresis effects under the hypotesis previously annouced. The numerical results obtained by the procedure proposed indicate numerical evidence the method at hand can be extended for the case of related three-phase water-gas-oil flow problems. A two-level operator splitting technique allows for the use of distinct time steps for the four problems defined by the splitting procedure: convection, diffusion, pressure-velocity and relaxation for hysteresis. The convective transport (hyperbolic) of the fluid phases is approximated by a high resolution, nonoscillatory, second-order, conservative central difference scheme in the convection step. This scheme is combined with locally conservative mixed finite elements for the numerical solution of the diffusive transport (parabolic) and the pressure-velocity (elliptic) problems. The time discretization of the parabolic problem is performed by means of the implicit Backward Euler method. An ordinary diferential equation is solved (analytically) for the relaxation related to hysteresis. Two-phase water-oil numerical results in one space dimensional, in which are in a very good agreement with semi-analitycal results available in the literature, were computationaly reproduced and new numerical results in two dimensional heterogeneous media are also presented and the extension of this technique to the case of three-phase water-oil-gas flows problems is proposed.
Capítulos de libros sobre el tema "Heterogenous conservation laws":
Brett, Christopher M. A. y Ana Maria Oliveira Brett. "Electrochemical principles". En Electroanalysis. Oxford University Press, 1998. http://dx.doi.org/10.1093/hesc/9780198548164.003.0002.
Rubin, Yoram. "An Overview of Stochastic Tools for Modeling Transport of Tracers in Heterogeneous Media". En Applied Stochastic Hydrogeology. Oxford University Press, 2003. http://dx.doi.org/10.1093/oso/9780195138047.003.0012.
Actas de conferencias sobre el tema "Heterogenous conservation laws":
Sasao, Yasuhiro y Satoru Yamamoto. "Numerical Prediction of Unsteady Flows Through Turbine Stator-Rotor Channels With Condensation". En ASME 2005 Fluids Engineering Division Summer Meeting. ASMEDC, 2005. http://dx.doi.org/10.1115/fedsm2005-77205.
LAVRUK, S. A. y D. A. TROPIN. "SIMULATION OF INTERACTION OF HETEROGENEOUS DETONATION WITH POROUS INSERT". En 13th International Colloquium on Pulsed and Continuous Detonations. TORUS PRESS, 2022. http://dx.doi.org/10.30826/icpcd13a17.
Alhubail, Ali, Marwan Fahs, Francois Lehmann y Hussein Hoteit. "Physics-Informed Neural Networks for Modeling Flow in Heterogeneous Porous Media: A Decoupled Pressure-Velocity Approach". En International Petroleum Technology Conference. IPTC, 2024. http://dx.doi.org/10.2523/iptc-24362-ms.
Coutinho, Emilio J. R. y Marcelo J. Aqua and Eduardo Gildin. "Physics-Aware Deep-Learning-Based Proxy Reservoir Simulation Model Equipped with State and Well Output Prediction". En SPE Reservoir Simulation Conference. SPE, 2021. http://dx.doi.org/10.2118/203994-ms.