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Pressure boundary conditions for immersed-boundary methods. [PDF]
J Comput Phys, 2023 Immersed boundary methods have seen an enormous increase in popularity over the past two decades, especially for problems involving complex moving/deforming boundaries. In most cases, the boundary conditions on the immersed body are enforced via forcing functions in the momentum equations, which in the case of fractional step methods may be problematic
Yildiran IN +5 more
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Nonlocal Neumann boundary conditions
Bruno Pini Mathematical Analysis Seminar, 2023 We present some properties of a nonlocal version of the Neumann boundary conditions associated to problems involving the fractional p-Laplacian. For this problems, we show some regularity results for the general case and some existence results for ...
Edoardo Proietti Lippi
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An Embedded Boundary Algorithm for Large Eddy Simulations in Complex Geometries [PDF]
INCAS Bulletin, 2012 The paper presents a novel implementation of the embedded boundary algorithm in a Large Eddy Simulation CFD algorithm. The embedded boundary method aims at allowing the simulation of complex geometry flows on Cartesian computational grids, increasing the
Cristian CARLANESCU +2 more
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Arab Journal of Basic and Applied Sciences, 2022 Our main concern in this study is to present the generalized results to investigate the existence of solutions to nonlinear fractional boundary value problems (FBVPs) with generalized nonlinear boundary conditions.
Asmat Batool +3 more
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An efficient density matrix renormalization group algorithm for chains with periodic boundary condition [PDF]
Papers in Physics, 2016 The Density Matrix Renormalization Group (DMRG) is a state-of-the-art numerical technique for a one dimensional quantum many-body system; but calculating accurate results for a system with Periodic Boundary Condition (PBC) from the conventional DMRG ...
Dayasindhu Dey +2 more
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The Bilaplacian with Robin Boundary Conditions [PDF]
SIAM Journal on Mathematical Analysis, 2022 We introduce Robin boundary conditions for biharmonic operators, which are a model for elastically supported plates and are closely related to the study of spaces of traces of Sobolev functions. We study the dependence of the operator, its eigenvalues, and eigenfunctions on the Robin parameters. We show in particular that when the parameters go to plus
Davide Buoso, James B. Kennedy
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Second-Order Boundary Value Problem with Integral Boundary Conditions
Boundary Value Problems, 2011 The nonlinear alternative of the Leray Schauder type and the Banach contraction principle are used to investigate the existence of solutions for second-order differential equations with integral boundary conditions.
Nieto JuanJ +2 more
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Low Entropy Future Boundary Conditions
Entropy, 2022 A number of ways to detect future, low-entropy, boundary conditions are considered. The most important of these is the use of slowly-decaying isotopes and the observation (or prediction) of galactic dynamics.
Lawrence S. Schulman
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The effect of inlet and outlet boundary conditions in image-based CFD modeling of aortic flow
BioMedical Engineering OnLine, 2018 Background Computational modeling of cardiovascular flow is a growing and useful field, but such simulations usually require the researcher to guess the flow’s inlet and outlet conditions since they are difficult and expensive to measure.
Sudharsan Madhavan +1 more
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Boundary streaming with Navier boundary condition [PDF]
Physical Review E, 2014 In microfluidic applications involving high-frequency acoustic waves over a solid boundary, the Stokes boundary-layer thickness $δ$ is so small that some non-negligible slip may occur at the fluid-solid interface. This paper assesses the impact of the slip by revisiting the classical problem of steady acoustic streaming over a flat boundary with the ...
Xie, Jin-Han, Vanneste, Jacques
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