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High-order particle method for solving incompressible Navier�Stokes equations within a mixed Lagrangian�Eulerian framework

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dc.citedby23
dc.contributor.authorLiu K.-S.en_US
dc.contributor.authorSheu T.W.-H.en_US
dc.contributor.authorHwang Y.-H.en_US
dc.contributor.authorNg K.-C.en_US
dc.contributor.authorid57195234742en_US
dc.contributor.authorid13302578200en_US
dc.contributor.authorid7402311620en_US
dc.contributor.authorid55310814500en_US
dc.date.accessioned2023-05-29T06:37:48Z
dc.date.available2023-05-29T06:37:48Z
dc.date.issued2017
dc.descriptionDiffusion in liquids; Flow of fluids; Lagrange multipliers; Laplace transforms; Mesh generation; Numerical methods; Poisson equation; Reynolds number; Continuity equations; Convection stability; Eulerian; Incompressible fluid flow; Moving particle semi-implicit; Moving particles; Particle distributions; Second-order accuracy; Navier Stokes equationsen_US
dc.description.abstractOwing to the fact that the Poisson equation of pressure for incompressible fluid flow is purely elliptic, it is therefore computationally improper to compute pressure on irregularly distributed moving particles as addressed in the recent Moving Particle with embedded Pressure Mesh (MPPM) method. In the current work, a modified MPPM method known as the Mixed Lagrangian�Eulerian (MLE) method is proposed for solving the incompressible Navier�Stokes equations. In the current velocity�pressure formulation, the momentum and continuity equations are approximated on the moving particles (Lagrangian) and the uniform Cartesian grid points, respectively. Meanwhile, the total derivative of velocity terms appeared in the momentum equations are estimated by simply advecting the moving particles, thereby eliminating the convection stability problem and increasing the flow accuracy without introducing false diffusion error. In the conventional Moving Particle Semi-implicit (MPS) and MPPM methods, numerical accuracies of the Laplacian and gradient operators are strongly dependent on the regularity of the particle distribution. In some implicit schemes, the gradient and Laplacian terms are of second-order and first-order accuracy, respectively. In the current work, the second-order accuracies of these differential terms exhibited on moving particles are realized by interpolating the derivative values from the uniform Cartesian grids calculated by using the high-order Combined Compact Difference (CCD) scheme. From the numerical results of Laplacian term approximation by using various numerical schemes, it is shown that the new MLE scheme is at least second-order accurate. The proposed Mixed Lagrangian�Eulerian (MLE) method can be easily applied to simulate fluid flow problems ranging from low to high Reynolds number. It is found that the numerical results compare well with the benchmark solutions. Moreover, it is more accurate than the recently proposed MPPM method. � 2017 Elsevier B.V.en_US
dc.description.natureFinalen_US
dc.identifier.doi10.1016/j.cma.2017.07.001
dc.identifier.epage101
dc.identifier.scopus2-s2.0-85026363837
dc.identifier.spage77
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85026363837&doi=10.1016%2fj.cma.2017.07.001&partnerID=40&md5=16faf8851ccb58440c5d11f1631d3ad2
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/23108
dc.identifier.volume325
dc.publisherElsevier B.V.en_US
dc.sourceScopus
dc.sourcetitleComputer Methods in Applied Mechanics and Engineering
dc.titleHigh-order particle method for solving incompressible Navier�Stokes equations within a mixed Lagrangian�Eulerian frameworken_US
dc.typeArticleen_US
dspace.entity.typePublication
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