377 research outputs found

    Reactive Flows in Deformable, Complex Media

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    Many processes of highest actuality in the real life are described through systems of equations posed in complex domains. Of particular interest is the situation when the domain is changing in time, undergoing deformations that depend on the unknown quantities of the model. Such kind of problems are encountered as mathematical models in the subsurface, material science, or biological systems.The emerging mathematical models account for various processes at different scales, and the key issue is to integrate the domain deformation in the multi-scale context. The focus in this workshop was on novel techniques and ideas in the mathematical modelling, analysis, the numerical discretization and the upscaling of problems as described above

    Fluid-structure interaction with flexible multibody dynamics and smoothed particle hydrodynamics

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    In this work, we present a versatile and efficient computational approach to fluid-structure interaction based on the coupling of flexible multibody systems with fluids analyzed by means of the meshfree particle-based method smoothed particle hydrodynamics. Regarding numerical examples, rigid or flexible cells, and fibers in microchannel flows are investigated. As a main feature of this paper, our results are validated with reference simulations obtained from fundamentally different approaches

    Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws

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    The development of reliable numerical methods for the simulation of real life problems requires both a fundamental knowledge in the field of numerical analysis and a proper experience in practical applications as well as their mathematical modeling. Thus, the purpose of the workshop was to bring together experts not only from the field of applied mathematics but also from civil and mechanical engineering working in the area of modern high order methods for the solution of partial differential equations or even approximation theory necessary to improve the accuracy as well as robustness of numerical algorithms

    Numerical Methods for Fluid-Structure Interaction - A Review

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    The interactions between incompressible fluid flows and immersed structures are nonlinear multi-physics phenomena that have applications to a wide range of scientific and engineering disciplines. In this article, we review representative numerical-methods based on conforming and non-conforming meshes that are currently available for computing fluid-structure interaction problems, with an emphasis on some of the recent developments in the field. A goal is to categorize the selected methods and assess their accuracy and efficiency. We discuss challenges faced by researchers in this field, and we emphasize the importance of interdisciplinary effort for advancing the study in fluid-structure interaction

    Proceedings of the YIC 2021 - VI ECCOMAS Young Investigators Conference

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    The 6th ECCOMAS Young Investigators Conference YIC2021 will take place from July 7th through 9th, 2021 at Universitat Politècnica de València, Spain. The main objective is to bring together in a relaxed environment young students, researchers and professors from all areas related with computational science and engineering, as in the previous YIC conferences series organized under the auspices of the European Community on Computational Methods in Applied Sciences (ECCOMAS). Participation of senior scientists sharing their knowledge and experience is thus critical for this event.YIC 2021 is organized at Universitat Politécnica de València by the Sociedad Española de Métodos Numéricos en Ingeniería (SEMNI) and the Sociedad Española de Matemática Aplicada (SEMA). It is promoted by the ECCOMAS.The main goal of the YIC 2021 conference is to provide a forum for presenting and discussing the current state-of-the-art achievements on Computational Methods and Applied Sciences,including theoretical models, numerical methods, algorithmic strategies and challenging engineering applications.Nadal Soriano, E.; Rodrigo Cardiel, C.; Martínez Casas, J. (2022). Proceedings of the YIC 2021 - VI ECCOMAS Young Investigators Conference. Editorial Universitat Politècnica de València. https://doi.org/10.4995/YIC2021.2021.15320EDITORIA

    Adaptive Finite Element Simulation of Fluid-Structure Interaction with Application to Heart-Valve Dynamics

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    The goal of this work is the development of concepts for the efficient numerical solution of fluid-structure interaction (FSI) problems with applications to heart-valve dynamics. The main motivation for further development in this field is an increasing demand from the medical community for scientifically rigorous investigations of cardiovascular diseases, which are responsible for the major fraction of mortalities in industrialized countries. In this work, the ALE (arbitrary Lagrangian Eulerian) description of fluid equations is utilized for the numerical modeling and simulation of fluid-structure interactions. Using this approach, the fluid equations can easily be coupled with structural deformations. The focal goal is the modeling, numerical analysis, and simulation of prototypical heart-valve dynamics, which requires the investigation of the following issues: the analysis of various fluid-mesh motion techniques, a comparison of different second-order time-stepping schemes, and the prescription of specific boundary conditions on the artificial outflow boundary. To control computational costs, we apply a simplified version of an a posteriori error estimation using the dual weighted residual (DWR) method. This method is used for mesh adaption during the computation. The last, novel aspect comprises a discussion of optimal control problems for wall stress minimization, in which the state is determined by a fluid-structure interaction system. The concepts developed in this work are demonstrated with several numerical tests in two and three dimensions. The programming code is validated by computing several FSI benchmark tests. The focal computation is related to a prototypical two-dimensional aortic heart-valve simulation. The concepts illustrated by this example were developed in cooperation with a cardiologist

    Multiphysics simulations: challenges and opportunities.

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