Дисертації з теми "Two-phase incompressible flows"
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Sherif, Ahmed. "Compact High-Order Accurate Scheme for Laminar Incompressible Two-Phase Flows." Electronic Thesis or Diss., Ecole centrale de Nantes, 2023. http://www.theses.fr/2023ECDN0004.
Повний текст джерелаThe objective of this thesis is to develop a high-order accurate method to solve the two-phase incompressible laminar flowproblem. Three main tasks are to be achieved. First, the method has to be energy-stable meaning that the divergence-free condition of the incompressible Navier-Stokes equation is satisfied everywhere in the computational domain. Second, the local discontinuities arising in the two-phase flow field have to be captured accurately. Third, the material interface betweenthe two fluids has to be represented accurately in each time step. In this work, a novel Hybridizable Discontinuous Galerkin (HDG) method is used for the spatial discretization. This hybrid method that belongs to the family of DG-FEM methods satisfies the divergence-free condition by introducing velocity and pressure trace variables of the same order plus a tailoredvelocity and pressure approximation inside the elements. Furthermore, the concepts of eXtended FEM (X-FEM) are used toapproximate discontinuities in the flow field by enriching the standard FEM approximation in elements where two fluids exist. Finally, the moving material interface between the twofluids is captured using the Level-Set method
Djati, Nabil. "Study of interface capturing methods for two-phase flows." Thesis, Lyon, 2017. http://www.theses.fr/2017LYSEI052/document.
Повний текст джерелаThis thesis is devoted to the development and comparison of interface methods for incompressible two-phase flows. It focuses on the selection of robust interface capturing methods, then on the manner of their coupling with the Navier-stokes solver. The level-set method is first investigated, in particular the influence of the advection scheme and the reinitialization step on the accuracy of the interface capturing. It is shown that the volume constraint method for reinitialization is robust and accurate in combination with the conservative fifth-order WENO schemes for the advection. It is found that interface errors increase drastically when the CFL number is very small. As a remedy, reinitializing the level-set field less often reduces the amount of numerical diffusion and non-physical interface displacement. Mass conservation is, however, not guaranteed with the level-set methods. The volume-of-fluid (VOF) method is then investigated, which naturally conserves the mass of the reference fluid. A geometrical consistent and conservative scheme is adopted, then an alternative technique more easily extended to 3D. It is found that both methods give very similar results. The moment-of-fluid (MOF) method, which reconstructs the interface using the reference fluid centroid, is found to be more accurate than the VOF methods. Different coupled level-set and VOF methods are then investigated, namely: CLSVOF, MCLS, VOSET and CLSMOF. It is observed that the level-set method tends to thicken thin filaments, whereas the VOF and coupled methods break up thin structures in small fluid particles. Finally, we coupled the level-set and volume-of-fluid methods with the incompressible Navier-Stokes solver. We compared different manners (sharp and smoothed) of treating the interface jump conditions. It is shown that the VOF methods are more robust, and provide excellent results for almost all the performed simulations. Two level-set methods are also identified that give very good results, comparable to those obtained with the VOF methods
Banyai, Tamas. "Development of Stabilized Finite Element Method for Numerical Simulation of Turbulent Incompressible Single and Eulerian-Eulerian Two-Phase Flows." Doctoral thesis, Universite Libre de Bruxelles, 2016. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/235110.
Повний текст джерелаDoctorat en Sciences de l'ingénieur et technologie
info:eu-repo/semantics/nonPublished
Johansson, Niklas. "Implementation of a standard level set method for incompressible two-phase flow simulations." Thesis, Uppsala universitet, Avdelningen för teknisk databehandling, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-154651.
Повний текст джерелаCheng, Kwok Wah [Verfasser]. "h- and p-XFEM with application to two-phase incompressible flow / Kwok Wah Cheng." Aachen : Hochschulbibliothek der Rheinisch-Westfälischen Technischen Hochschule Aachen, 2011. http://d-nb.info/1018215921/34.
Повний текст джерелаKelly, Jesse. "Numerical solution of the two-phase incompressible navier-stokes equations using a gpu-accelerated meshless method." Honors in the Major Thesis, University of Central Florida, 2009. http://digital.library.ucf.edu/cdm/ref/collection/ETH/id/1277.
Повний текст джерелаBachelors
Engineering and Computer Science
Mechanical Engineering
PIMENTEL, ISMAEL ANDRADE. "AN ADAPTIVE MESHFREE ADVECTION METHOD FOR TWO-PHASE FLOW PROBLEMS OF INCOMPRESSIBLE AND IMMISCIBLE FLUIDS THROUGH THREEDIMENSIONAL HETEROGENEOUS POROUS MEDIA." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2015. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=33594@1.
Повний текст джерелаCONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO
Esta tese propõe um método meshfree adaptativo de advecção para problemas de fluxo bifásico de fluidos incompressíveis e imiscíveis em meios porosos heterogêneos tridimensionais. Este método se baseia principalmente na combinação do método Semi-Lagrangeano adaptativo com interpolação local meshfree usando splines poliharmônicas como funções de base radial. O método proposto é uma melhoria e uma extensão do método adaptativo meshfree AMMoC proposto por Iske e Kaser (2005) para modelagem 2D de reservatórios de petróleo. Inicialmente este trabalho propõe um modelo em duas dimensões, contribuindo com uma melhoria significativa no cálculo do Laplaciano, utilizando os métodos meshfree de Hermite e Kansa. Depois, o método é ampliado para três dimensões (3D) e para um meio poroso heterogêneo. O método proposto é testado com o problema de five spot e os resultados são comparados com os obtidos por sistemas bem conhecidos na indústria de petróleo.
This thesis proposes an adaptive meshfree advection method for two-phase flow problems of incompressible and immiscible fluids through three-dimensional heterogeneous porous media. This method is based mainly on a combination of adaptive semi-Lagrangian method with local meshfree interpolation using polyharmonic splines as radial basis functions. The proposed method is an improvement and extension of the adaptive meshfree advection scheme AMMoC proposed by Iske and Kaser (2005) for 2D oil reservoir modeling. Initially this work proposes a model in two dimensions, contributing to a significant improvement in the calculation of the Laplacian, using the meshfree methods of Hermite and Kansa. Then, the method is extended to three dimensions (3D) and a heterogeneous porous medium. The proposed method is tested with the five spot problem and the results are compared with those obtained by well-known systems in the oil industry.
Lin, Po-Hsien. "Solving First-Order Hyperbolic Problems For Wave Motion in Nearly Incompressible fluids, Two-Phase Fluids, and Viscoelastic Media By the CESE Method." The Ohio State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=osu1420552163.
Повний текст джерелаHeimann, Felix [Verfasser], and Peter [Akademischer Betreuer] Bastian. "An Unfitted Higher-Order Discontinuous Galerkin Method for Incompressible Two-Phase Flow with Moving Contact Lines / Felix Heimann ; Betreuer: Peter Bastian." Heidelberg : Universitätsbibliothek Heidelberg, 2013. http://d-nb.info/117738101X/34.
Повний текст джерелаZhang, Xin. "Étude qualitative des solutions du système de Navier-Stokes incompressible à densité variable." Thesis, Paris Est, 2017. http://www.theses.fr/2017PESC1215/document.
Повний текст джерелаThis thesis is dedicated to two different problems in the mathematical study of the viscous incompressible fluids: the persistence of tangential regularity and the motion of a free surface.The first problem concerns the study of the qualitative properties of some thermodynamical quantities in incompressible fluid models, such as the temperature for Boussinesq system with no diffusion and the density for the non-homogeneous Navier-Stokes system. Typically, we assume those two quantities to be initially piecewise constant along an interface with H"older regularity.As a consequence of stability of certain directional smoothness of the velocity field, we establish that the regularity of the interfaces persist globally with respect to time both in the two dimensional and higher dimensional cases (under some smallness condition). Our strategy is borrowed from the pioneering works by J.-Y.Chemin in 1990s on the vortex patch problem for ideal fluids.Let us emphasize that, apart from the directional regularity, we only impose rough (critical) regularity on the velocity field. The proof requires tools from para-differential calculus and multiplier space theory.In the last part of this thesis, we are concerned with the free boundary value problem for two-phase density-dependent Navier-Stokes system.This model is used to describe the motion of two immiscible liquids, like the oil and the water. Such mixture may occur in different situations, such as in a fixed bounded container, in a moving bounded droplet or in a river with finite depth. We establish the short time well-posedness for this problem. Our result strongly relies on the $L_p$-$L_q$ maximal regularity theoryfor parabolic equations
Ahmed, Aqeel. "LES of atomization and cavitation for fuel injectors." Thesis, Normandie, 2019. http://www.theses.fr/2019NORMR048/document.
Повний текст джерелаThis thesis presents Large Eddy Simulation (LES) of fuel injection, atomization and cavitation inside the fuel injector for applications related to internal combustion engines. For atomization modeling, Eulerian Lagrangian Spray Atomization (ELSA) model is used. The model solves for volume fraction of liquid fuel as well as liquid-gas interface surface density to describe the complete atomization process. In this thesis, flow inside the injector is also considered for subsequent study of atomization. The study presents the application of ELSA model to a typical diesel injector, both in the context of RANS and LES. The model is validated with the help of experimental data available from Engine Combustion Network (ECN). The ELSA model which is normally designed for diffused (unresolved) interfaces, where the exact location of the liquid-gas interface is not considered, is extended to work with Volume of Fluid (VOF) type formulation of two phase flow, where interface is explicitly resolved. The coupling is achieved with the help of Interface Resolution Quality (IRQ) criteria, that takes into account both the interface curvature and modeled amount of interface surface. ELSA model is developed first considering both phases as incompressible, the extension to compressible phase is also briefly studied in this thesis, resulting in compressible ELSA formulation that takes into account varying density in each phase. In collaboration with Imperial College London, the Probability Density Function (PDF) formulation with Stochastic Fields is also explored to study atomization. In modern fuel injection systems, quite oftenthe local pressure inside the injector falls below the vapor saturation pressure of the fuel, resulting in cavitation. Cavitation effects the external flow and spray formulation. Thus, a procedure is required to study the phase change as well as jet formulation using a single and consistent numerical setup. A method is developed in this thesis that couples the phase change inside the injector to the external jet atomization. This is achieved using the volume of fluid formulation where the interface is considered between liquid and gas; gas consists of both the vapor and non condensible ambient air
Yang, Chung-Ming, and 楊長銘. "A locally conservative scheme for two-phase incompressible immiscible flows in porous media." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/84407628831636421430.
Повний текст джерела國立交通大學
應用數學系所
97
The mathematical model of the waterflood problem which is applied in this paper can be divided into two sections. One is the pressure equation and the other is the saturation equation. And the saturation equation also can be pa- rtitioned into the transport stage saturation and the diffusive stage saturation. However, we will pay more attention to solve the transport stage saturation in this research. Here we construct a meters reservoir system for simu- lation. An efficient numerical method, locally conservative Eulerian-Lagrangian methods (LCELM), is developed to compute the transport equation to improve the conservation of waterflood. From the results of the numerical simulations, we can realize the relation between temporal variation and the flow condition.
Wu, Chang-Che, and 吳長哲. "A multigrid method and its applications to two-phase incompressible immiscible flows in porous media and the incompressible Navier-Stokes equations." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/00541138554899869549.
Повний текст джерела國立交通大學
應用數學系所
100
The primary objective of this thesis is to introduce a multigrid method to solve elliptic equation with strongly discontinuous coefficients. In the beginning, we explain how to use the multigrid method to solve a 3D elliptic equation with strongly discontinuous coefficients, and then show some numerical testing results. Also, we provide some results compared with other numerical methods to show the efficency of the mutigrid method. Furthermore, we apply the multigrid method to solve two mathematical problems, one is for the waterflooding problem and the other is the incompressible Navier-Stokes equations. A locally conservative Eulerian-Lagrangian method (briefly LCELM) is used to compute the transport part of the two models. Some numerical results for the two problems will be presented as well. ii
Nguyen, Trung Hieu [Verfasser]. "Numerical methods for mass transport equations in two-phase incompressible flows / vorgelegt von Trung Hieu Nguyen." 2009. http://d-nb.info/100027442X/34.
Повний текст джерелаGroß, Sven [Verfasser]. "Numerical methods for three-dimensional incompressible two-phase flow problems / vorgelegt von Sven Groß." 2008. http://d-nb.info/990407322/34.
Повний текст джерела"A Collation and Analysis of Two-Dimensional Unsplit Conservative Advection Methods for Volume of Fluid at Interfaces." Master's thesis, 2019. http://hdl.handle.net/2286/R.I.53751.
Повний текст джерелаDissertation/Thesis
Masters Thesis Mechanical Engineering 2019