MLS-SPH-ALE: A Review of Meshless-FV Methods and a Unifying Formulation for Particle Discretizations
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MLS-SPH-ALE: A Review of Meshless-FV Methods and a Unifying Formulation for Particle DiscretizationsAutor(es)
Fecha
2023Cita bibliográfica
Eirís, A., Ramírez, L., Couceiro, I. et al. MLS-SPH-ALE: A Review of Meshless-FV Methods and a Unifying Formulation for Particle Discretizations. Arch Computat Methods Eng 30, 4959–4981 (2023). https://doi.org/10.1007/s11831-023-09965-2
Resumen
[Abstract:] Mesh-based and particle methods were conceived as two different discretization strategies to solve partial differential equations. In the last two decades computational methods have diversified and a myriad of hybrid formulations that combine elements of these two approaches have been developed to solve Computational fluid dynamics problems. In this work we present a review about the meshless-FV family of methods, an analysis is carried out showing that the MLS-SPH-ALE method can be considered as a general formulation from which a set of particle-based methods can be recovered. Moreover, we show the relations between the MLS-SPH-ALE method and the finite volume method. The MLS-SPH-ALE method is a versatile particle-based method that was developed to circumvent the consistency issues of particle methods caused by the use of the kernel approximation. The MLS-SPH-ALE method is developed from the differential equation in ALE form using the partition unity property which is automatically fulfilled by the Moving Least Squares approximation.
Palabras clave
Mesh-based method
Particle method
Partial differential equations
Computational methods
Computational fluid dynamics problems
MLS-SPH-ALE method
Finite volume method
Kernel approximation
Moving Least Squares approximation
Particle method
Partial differential equations
Computational methods
Computational fluid dynamics problems
MLS-SPH-ALE method
Finite volume method
Kernel approximation
Moving Least Squares approximation
Descripción
Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature.
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Atribución 3.0 España
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