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 Heat and Mass Transfer Technological Center (CTTC)
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 Barcelona School of Telecommunications Engineering (ETSETB)
 lluiscttc.upc.edu
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Conservation properties of unstructured finitevolume mesh schemes for the NavierStokes equations
Jofre Cruanyes, Lluís; Lehmkuhl Barba, Oriol; Ventosa Molina, Jordi; Trias Miquel, Francesc Xavier; Oliva Llena, Asensio
Numerical heat transfer. Part B, fundamentals
Date of publication: 20131109
Journal article
Read the abstract View Share Reference managersThe NavierStokes equations describe fluid flow by conserving mass and momentum. There are two main mesh discretizations for the computation of these equations, the collocated and staggered schemes. Collocated schemes locate the velocity field at the same grid points as the pressure one, while staggered discretizations locate variables at different points within the mesh. One of the most important characteristic of the discretization schemes, aside from accuracy, is their capacity to discretely conserve kinetic energy, specially when solving turbulent flow. Hence, this work analyzes the accuracy and conservation properties of two particular collocated and staggered schemes by solving various problems. 
Parallelization strategy for the VolumeofFluid method on unstructured meshes
Borrell, Ricard; Jofre Cruanyes, Lluís; Lehmkuhl Barba, Oriol; Castro Gonzalez, Jesus
International Conference on Parallel Computational Fluid Dynamics
Presentation of work at congresses
Read the abstract View Share Reference managersThe VolumeofFluid (VOF) is one of the most widely used methods for interface tracking in the simulation of multifluid flows. The interface between different fluids is generated from the volume fraction scalar fields, which account for the ratio of volume of each fluid in each control volume. Then, an advection equation is solved to obtain the new distribution of the fluids after momentum is applied. Since this is a timeconsuming process, parallelization techniques play an essential role. In the VOF approaches most of computing cost of the algorithm is concentrated in operations with the cells that form the interface, i.e. the cells in which coexist different fluids. When the interface is not homogeneously distributed throughout the domain, the standard domain decomposition strategy results in an unbalanced partition. A possible strategy to overcome this limitation is to adapt the domain decomposition to the interface distribution, however, this approach presents a number of drawbacks mainly related to the dynamic location of the interface. In this paper a new strategy, based in a load balancing process complementary to the domain decomposition, is presented with the aim to overcome the limitations of standard domain decomposition based approaches. 
Conservation properties and accuracy of unstructured mesh schemes for the Navier Stokes equations
Jofre Cruanyes, Lluís; Lehmkuhl Barba, Oriol; Ventosa Molina, Jordi; Oliva Llena, Asensio
International Symposium on Turbulence, Heat and Mass Transfer
Presentation's date: 20120926
Presentation of work at congresses
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Parallelization of the VolumeofFluid method for 3D unstructured meshes
Jofre Cruanyes, Lluís; Borrell Pol, Ricard; Lehmkuhl Barba, Oriol; Oliva Llena, Asensio
International Conference on Parallel Computational Fluid Dynamics
Presentation's date: 20120523
Presentation of work at congresses
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Numerical study of the incompressible RichtmyerMeshkov instability. Interface tracking methods on general meshes
Balcazar Arciniega, Nestor Vinicio; Jofre Cruanyes, Lluís; Lehmkuhl Barba, Oriol; Castro Gonzalez, Jesus; Oliva Llena, Asensio
Conference on Modelling Fluid Flow
Presentation's date: 20120904
Presentation of work at congresses
Read the abstract Access to the full text Share Reference managersThe numerical simulation of interfacial and free surface flows is a vast and interesting topic in the areas of engineering and fundamental physics, such as the study of liquidgas interfaces, formation of droplets, bubbles and sprays, combustion problems with liquid and gas reagents, study of wave motion and others. Many different methods for interface tracking exist, but VolumeofFluid and LevelSet methods are two of the most important. The VolumeofFluid preserves mass in a natural way but requires large computational resources. On the other hand, the LevelSet is not as accurate and mass conservative as the VolumeofFluid but is a faster way to track interfaces, representing them by the middle contour of a signed distance function. The objective of this work is to analyze the advantatges and drawbacks of the VolumeofFluid and LevelSet methods by solving the incompressible twoliquid RichtmyerMeshkov instability and to compare the results to experimental data. 
Numerical simulation of incompressible two phase flows by conservative level set method
Balcazar Arciniega, Nestor Vinicio; Jofre Cruanyes, Lluís; Lehmkuhl Barba, Oriol; Rigola Serrano, Joaquim; Castro Gonzalez, Jesus
Conference on Modelling Fluid Flow
Presentation's date: 20120904
Presentation of work at congresses
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Parallelization study of a VOF/NavierStokes model for 3D unstructured staggered meshes
Jofre Cruanyes, Lluís; Lehmkuhl Barba, Oriol; Borrell Pol, Ricard; Castro Gonzalez, Jesus; Oliva Llena, Asensio
International Conference on Parallel Computational Fluid Dynamics
Presentation's date: 20110516
Presentation of work at congresses
Read the abstract Access to the full text Share Reference managersThe numerical simulation of interfacial and free surface flows is a vast and interesting topic in the areas of engineering and fundamental physics, such as the study of liquidgas interfaces, formation of droplets, bubbles and sprays, combustion problems with liquid and gas reagents, study of wave motion and others. One of the most powerful and robust methods for interface tracking on fixed grids is the VolumeofFluid (VOF). This method tracks the interface between different fluids by evolving the volume fraction scalar field, ratio of fluid to total volume, in time. First, the interface geometry is reconstructed from local volume fraction data. Then, the interface reconstruction and the solution of the NavierStokes equations are used to compute the volume fraction advection equation. The objective of this work is to implement a fast, accurate and efficiently parallelizated VOF/NavierStokes model well suited to 3D unstructured staggered meshes. The interface will be reconstructed by a PLIC method and the advection step will be computed by the means of an unsplitadvection volume tracking algorithm. On the other hand, the NavierStokes equations will be solved using an unstructured staggered formulation. The parallelization of the VOF/NavierStokes model will be studied by solving the RichtmyerMeshkov instability (RMI). The RichtmyerMeshkov instability occurs at a nearly planar interface separating two fluids that are impulsively accelerated in the direction normal to the interface. This impulsive acceleration can be the result of an impulsive body force or a passing shock wave.
Postprint (author’s final draft) 
VOF/NavierStokes implementation on 3D unstructured staggered meshes. Application to the RichtmyerMeshkov instability
Jofre Cruanyes, Lluís; Lehmkuhl Barba, Oriol; Castro Gonzalez, Jesus; Oliva Llena, Asensio
International Conference on Computational Heat and Mass Transfer
Presentation's date: 20110718
Presentation of work at congresses
Read the abstract View Share Reference managersThe numerical simulation of interfacial and free surface flows is a vast and interesting topic in the areas of engineering and fundamental physics, such as the study of liquidgas interfaces, formation of droplets, bubbles and sprays, combustion problems with liquid and gas reagents, study of wave motion and others. One of the most powerful and robust methods for interface tracking on fixed grids is the VolumeofFluid (VOF). This method tracks the interface between different fluids by evolving the volume fraction scalar field, ratio of fluid to total volume, in time. First, the interface geometry is reconstructed from local volume fraction data. Then, the interface reconstruction and the solution of the NavierStokes equations are used to solve the volume fraction advection equation. The objective of this work is to implement a fast, accurate and parallelizable VOF/NavierStokes model well suited to 3D unstructured staggered meshes. The interface will be reconstructed by a PLIC method and the advection step will be computed by the means of an unsplitadvection volume tracking algorithm. On the other hand, the Navier Stokes equations will be solved using an unstructured staggered formulation. The VOF/NavierStokes implementation will be tested by comparing the solution of the RichtmyerMeshkov instability (RMI) to experimental results. The RichtmyerMeshkov instability occurs at a nearly planar interface separating two fluids that are impulsively accelerated in the direction normal to the interface. This impulsive acceleration can be the result of an impulsive body force or a passing shock wave. 
A PLICVOF implementation on parallel 3D unstructured meshes
Jofre Cruanyes, Lluís; Lehmkuhl Barba, Oriol; Castro Gonzalez, Jesus; Oliva Llena, Asensio
European Conference on Computational Fluid Dynamics
Presentation's date: 20100614
Presentation of work at congresses
Read the abstract View Share Reference managersThe numerical simulation of interfacial and free surface ows is a vast and interesting topic in the areas of engineering and fundamental physics, such as the study of liquidgas interfaces, formation of droplets, bubbles and sprays, combustion problems with liquid and gas reagents, study of wave motion and others. One of the most powerful and robust methods for interface simulation in xed grids is the VolumeofFluid (VOF). In this method, the fluids are represented by a scalar fi eld Ck, known as volume fraction, that represents the portion of volume lled with fluid k. Given a velocity fi eld, interfaces are then tracked by evolving fluid volumes in time. At any time in the solution, an exact interface location is not known. Interface geometry is instead inferred (based on assumptions of the particular algorithm) and its location is reconstructed from local volume fraction data (Interface Reconstruction). The reconstructed interface is then used to compute the volume fluxes necessary for the convective terms in the volume evolution equation (Advection). The objective of this work is to implement a fast, accurate and parallelizable VOF method well suited to 3D unstructured meshes. The selected interface reconstruction algorithms will be the Youngs' (fi rst order) and the LVIRA (second order). In the other hand, the advection step will be computed by the means of an unsplitadvection volume tracking algorithm. In the paper, the VOF method will be tested for different test problems. First, a study of reconstruction accuracy, it is most easily assessed by analyzing the reconstruction of known geometries, such as a hollowed sphere. Second, a rotation test, where a velocity field is imposed and the advection algorithm is tested. 
IN SPACE PROPULSION1
Jofre Cruanyes, Lluís; Morales Ruiz, Sergio; Oliva Llena, Asensio; Perez Segarra, Carlos David; Castro Gonzalez, Jesus
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