Positivity preservation, stencil selection and applications of LSKUM to 3-D inviscid flows

Praveen, C.; Ghosh, Arnab; Deshpande, S. M.

doi:10.1016/j.compfluid.2008.04.017

Cited by 8 publications

(4 citation statements)

References 14 publications

(29 reference statements)

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“…Approach of normal equations as well as QR produces inaccurate results when applied to ill-conditioned problem [15]. The cross-product matrix, C in LSKUM becomes ill-conditioned when points in the connectivity lies in a thin disc or a thin cylinder [24]. Thus, we require a formulation which leads to well conditioned matrix C. SLKNS uses a different approach to solve a least squares problem as it generates the non-symmetric cross-product matrix C -A T N A N by suitable selection of sub-stencils such that the matrix is diagonally dominant and well conditioned.…”

Section: Split-stencil Least Square Kinetic Upwind Methodsmentioning

confidence: 99%

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Meshless kinetic upwind method for compressible, viscous rotating flows

2011

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Section: Split-stencil Least Square Kinetic Upwind Methodsmentioning

confidence: 99%

“…The pre-processing step is similar to LSKUM [24] where the points are generated around each component of the multibody configuration using simple grid generator and then the points around each components are merged to form the cloud of points.…”

Section: Treatment Of Slip Flow In the Rarefied Corementioning

confidence: 99%

Meshless kinetic upwind method for compressible, viscous rotating flows

2011

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“…If a mesh were to be used directly, extra work is needed at the intersecting regions. On the other hand, if only the nodes are being used, the union of the nodes of each mesh can be taken directly as the point cloud [4,132,161]. This method has also been referred to as chimera cloud of points [3].…”

Section: Mesh Generation For Point Cloud Generationmentioning

confidence: 99%

Point Cloud Generation for Meshfree Methods: An Overview

Suchde

Jacquemin

Davydov

2022

Arch Computat Methods Eng

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Meshfree methods are becoming an increasingly popular alternative to mesh-based methods of numerical simulation. The biggest stated advantage of meshfree methods is the avoidance of generating a mesh on the computational domain. However, even today a surprisingly large amount of meshfree literature ironically uses the nodes of a mesh as the point set that discretizes the domain. On the other hand, already existing efficient meshfree methods to generate point clouds are apparently not very well known among meshfree communities, which has led to recent work redeveloping existing algorithms. In this paper, we present a brief overview of point cloud generation methods for domains and surfaces and discuss their features and challenges, in particular in the context of applicability to industry-relevant complex geometries.

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“…The above methods basically use least squares method for estimating spatial derivatives of fluxes. Among those methods, LSKUM and q-LSKUM have been applied on various distributions of points [11][12][13][14] and have solved number of complex fluid problems [15][16][17][18] . A 3-D grid-free Euler code based on q-LSKUM has been developed 19 ; lower-upper symmetric gauss Seidel 20 has been implemented in q-LSKUM code 21 to get faster convergence and the code has been parallelised using message passing interface (MPI) to run on cluster/parallel computers 22 .…”

Section: Introductionmentioning

confidence: 99%

Development of Three-dimensional Grid-free Solver and its Applications to Multi-body Aerospace Vehicles

Anandhanarayanan

2010

DSJ

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Grid-free solver has the ability to solve complex multi-body industrial problems with minimal effort. Grid-free Euler solver has been applied to number of multi-body aerospace vehicles using Chimera clouds of points including flight vehicle with fin deflection, nose fairing separation of hypersonic launch vehicle. A preprocessor has been developed to generate connectivity for multi-bodies using overlapped grids. Surface transpiration boundary condition has been implemented to model aerodynamic damping and to impose the relative velocity of moving components. Dynamic derivatives are estimated with reasonable accuracy and less effort using the grid-free Euler solver with the transpiration boundary condition. Further, the grid-free Euler solver has been integrated with six-degrees of freedom (6-DOF) equations of motion to form store separation dynamics suite which has been applied to obtain the trajectory of a rail launch air-to-air-missile from a complex fighter aircraft.

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Positivity preservation, stencil selection and applications of LSKUM to 3-D inviscid flows

Cited by 8 publications

References 14 publications

Meshless kinetic upwind method for compressible, viscous rotating flows

Meshless kinetic upwind method for compressible, viscous rotating flows

Point Cloud Generation for Meshfree Methods: An Overview

Development of Three-dimensional Grid-free Solver and its Applications to Multi-body Aerospace Vehicles

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