Search Results - hierarchical Cartesian mesh method

A mathematical interpolation bounce back wall modeled lattice Boltzmann method based on hierarchical Cartesian mesh applied to 30P30N airfoil aeroacoustics simulation by Liang, Wen-zhi, Liu, Pei-qing, Zhang, Jin, Yang, Shu-tong, Qu, Qiu-lin

“… This paper proposes a WMLES algorithm based on a hierarchical Cartesian mesh and utilizing LBM, including the treatment of dominant geometric parameters…”
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A fully coupled hybrid computational aeroacoustics method on hierarchical Cartesian meshes by Schlottke-Lakemper, Michael, Yu, Hans, Berger, Sven, Meinke, Matthias, Schröder, Wolfgang

“…•A CFD and a CAA solver run simultaneously on a joint hierarchical Cartesian grid.•In-memory data transfers between the solvers greatly improve parallel efficiency…”
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A finite-difference method for the variable coefficient Poisson equation on hierarchical Cartesian meshes by Raeli, Alice, Bergmann, Michel, Iollo, Angelo

“…We consider problems governed by a linear elliptic equation with varying coefficients across internal interfaces. The solution and its normal derivative can…”
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Radiation heat transfer model using Monte Carlo ray tracing method on hierarchical ortho-Cartesian meshes and non-uniform rational basis spline surfaces for description of boundaries by Kuczynski, Pawel, Bialecki, Ryszard

“…The paper deals with a solution of radiation heat transfer problems in enclosures filled with nonparticipating medium using ray tracing on hierarchical ortho-Cartesian meshes…”
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Full Eulerian deformable solid‐fluid interaction scheme based on building‐cube method for large‐scale parallel computing by Nishiguchi, Koji, Bale, Rahul, Okazawa, Shigenobu, Tsubokura, Makoto

“… While good scalability of a full Eulerian solid‐fluid interaction formulation has been reported by Sugiyama et al, their analysis was carried out using uniform Cartesian mesh and an artificial compressibility method…”
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An adaptive multilevel multigrid formulation for Cartesian hierarchical grid methods by Hartmann, Daniel, Meinke, Matthias, Schröder, Wolfgang

“…A Cartesian grid method with adaptive mesh refinement and multigrid acceleration is presented for the compressible Navier–Stokes equations…”
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Imposing Dirichlet boundary conditions in hierarchical Cartesian meshes by means of stabilized Lagrange multipliers by Tur, M., Albelda, J., Nadal, E., Ródenas, J. J.

“…SUMMARYThe use of Cartesian meshes independent of the geometry has some advantages over the traditional meshes used in the finite element method…”
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Topology Optimization for Large‐Scale Unsteady Flow With the Building‐Cube Method by Katsumata, Ryohei, Nishiguchi, Koji, Hoshiba, Hiroya, Kato, Junji

“…‐cube method (BCM), which is one of the hierarchical Cartesian mesh methods. Although the BCM has been confirmed to have excellent scalability and is suitable…”
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A full-field simulation methodology for sonic boom modeling on adaptive Cartesian cut-cell meshes by Yamashita, Rei, Wutschitz, Lukas, Nikiforakis, Nikolaos

“…: (i) a hierarchical structured adaptive mesh refinement (AMR) method, (ii) a Cartesian cut cell method, (iii…”
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A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics by Schlottke-Lakemper, Michael, Winters, Andrew R., Ranocha, Hendrik, Gassner, Gregor J.

“…•Discontinuous Galerkin methods with adaptive mesh refinement and shock capturing. One of the challenges when simulating astrophysical flows with self-gravity is to compute the gravitational forces…”
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Efficient parallelization for volume-coupled multiphysics simulations on hierarchical Cartesian grids by Schlottke-Lakemper, Michael, Niemöller, Ansgar, Meinke, Matthias, Schröder, Wolfgang

“… To circumvent this problem, a new concept based on a joint hierarchical mesh is proposed, where the coupled solvers use different cells of a single shared grid…”
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A fast nested dissection solver for Cartesian 3D elliptic problems using hierarchical matrices by Schmitz, Phillip G., Ying, Lexing

“…We present a fast algorithm for solutions to linear systems arising from three dimensional elliptic problems on a regular Cartesian mesh…”
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A Discontinuous Galerkin Time-Domain Method With Dynamically Adaptive Cartesian Mesh for Computational Electromagnetics by Su Yan, Chao-Ping Lin, Arslanbekov, Robert R., Kolobov, Vladimir I., Jian-Ming Jin

“…A discontinuous Galerkin time-domain (DGTD) method based on dynamically adaptive Cartesian mesh (ACM…”
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Numerical analysis of the impact of exit conditions on low Mach number turbulent jets by Cetin, Mehmet Onur, Meinke, Matthias, Schröder, Wolfgang

“…) of axisymmetric turbulent hot jets at a Reynolds number Re = 316,000 and a Mach number M = 0.12 are computed using an unstructured hierarchical Cartesian mesh method…”
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A mixed Lagrangian–Eulerian method for non-linear free surface flows using multigrid on hierarchical Cartesian grids by Silva Santos, Carlos M.P., Greaves, Deborah M.

“… The computational domain is discretised in an Eulerian fashion using hierarchical Cartesian meshes, whilst the free surface location is explicitly tracked using a Lagrangian approach…”
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An Eulerian finite-volume approach of fluid-structure interaction problems on quadtree meshes by Bergmann, Michel, Fondanèche, Antoine, Iollo, Angelo

“…•An Eulerian scheme on quadtree meshes for solving FSI problems in 2D is presented…”
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A parallel geometric multigrid method for adaptive topology optimization by Herrero-Pérez, David, Picó-Vicente, Sebastián Ginés

“… The approach does not constrain such meshes to the typical multiscale grids used by Cartesian hierarchical grid methods, such as octree-based approaches…”
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Theoretical link in numerical shock thickness and shock-capturing dissipation by Ida, Ryosuke, Tamaki, Yoshiharu, Kawai, Soshi

“…This paper presents a theoretical link between numerical shock thickness and shock-capturing dissipation. The link is derived rigorously from the compressible…”
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High‐order discontinuous Galerkin method for time‐domain electromagnetics on geometry‐independent Cartesian meshes by Navarro‐García, Héctor, Sevilla, Rubén, Nadal, Enrique, Ródenas, Juan José

“…In this work we present the Cartesian grid discontinuous Galerkin (cgDG) finite element method, a novel numerical technique that combines the high accuracy and efficiency of a high…”
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Improvement in 3D topology optimization with h‐adaptive refinement using the Cartesian grid Finite Element Method by Muñoz, David, Albelda, José, Ródenas, Juan José, Nadal, Enrique

“…) method, broadly used because of its simple formulation and efficiency. Even so, the SIMP method has certain drawbacks, namely…”
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