PublicaciĂłn: SEMI-DECOUPLED FIRST-ORDER CORRECTION FOR SMOOTHED PARTICLE HYDRODYNAMICS
| dc.creator | ROBERTO EDUARDO ROZAS CĂRDENAS | |
| dc.date | 2021 | |
| dc.date.accessioned | 2025-01-10T15:25:00Z | |
| dc.date.available | 2025-01-10T15:25:00Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | THE FINITE PARTICLE METHOD (FPM) AND THE DECOUPLED FINITE PARTICLE METHOD (DFPM) ARE VARIANTS OF THE SMOOTHED PARTICLE HYDRODYNAMICS (SPH) IN WHICH THE ESTIMATION OF A FIELD AND ITS GRADIENT FOR AN ARBITRARY DISTRIBUTION OF PARTICLES IS PERFORMED BY IMPOSING FIRST ORDER CONSISTENCY EQUATIONS (). A MODIFICATION OF THE KERNEL IS INTRODUCED THAT INVOLVES THE INVERSION OF A CORRECTION MATRIX FOR EACH INTERPOLATION POINT IN THE SYSTEM. IN THE FPM, THE INVERSION IS RIGOROUSLY PERFORMED AND THEREFORE THE METHOD HAS FIRST-ORDER CONSISTENCY (). HOWEVER, IN DPFM THE VANISHINGLY SMALL NON-DIAGONAL TERMS IN THE CORRECTION MATRIX ARE NEGLECTED TO OBTAIN A MORE STRAIGHTFORWARD METHOD, AT EXPENSE OF CONSISTENCY. FOLLOWING THE IDEA OF DFPM, THE SEMI-DECOUPLED FINITE PARTICLE METHOD (SDFPM) AND THE CORRECTED SEMI DECOUPLED FINITE PARTICLE METHOD (CSDFPM) ARE INTRODUCED. IN THE SDFPM, THE KERNEL IS NORMALIZED BY A SHEPARD FACTOR AND THE FIRST ORDER CONSISTENCY EQUATIONS ARE SOLVED BY NEGLECTING NON-DIAGONAL TERMS IN THE CORRECTION MATRIX AS IN THE DFPM METHOD. IN THE CORRECTED VERSION OF THIS METHOD (CSDFPM), THE SDFPM ESTIMATION IS USED AS THE INITIAL GUESS TO GET A SECOND CORRECTED ESTIMATION IN THE EQUATIONS. THE PRECISION OF FPM, DFPM, SDFPM, AND CSDFPM IS TESTED BY EVALUATING THE GRADIENT COMPONENTS OF A FIELD AROUND A CYLINDRICAL OBSTACLE AND AROUND A CYLINDRICAL HOLE BY USING (I) TRIAL FIELD FUNCTIONS WITH AN ORDERED ARRAY OF PARTICLES AND (II) THE PRESSURE FIELD WITH A DISTRIBUTION OF PARTICLES TAKEN FROM A FLOW SIMULATION. DRAG COEFFICIENTS FOR FLOW AROUND A CYLINDER ARE OBTAINED BY THE DIFFERENT METHODS AND COMPARED IN A WIDE RANGE OF REYNOLDS NUMBERS, INCLUDING THE LAMINAR AND TURBULENT REGIMES. THE GRADIENT COMPONENTS AND DRAG COEFFICIENTS CALCULATED WITH THE PROPOSED METHODS SHOW A PRECISION COMPARABLE TO THE FPM AT A LOWER COMPUTATIONAL COST. | |
| dc.format | application/pdf | |
| dc.identifier.doi | 10.1016/j.apm.2020.12.006 | |
| dc.identifier.issn | 1872-8480 | |
| dc.identifier.issn | 0307-904X | |
| dc.identifier.uri | https://repositorio.ubiobio.cl/handle/123456789/11912 | |
| dc.language | spa | |
| dc.publisher | APPLIED MATHEMATICAL MODELLING | |
| dc.relation.uri | 10.1016/j.apm.2020.12.006 | |
| dc.rights | PUBLICADA | |
| dc.title | SEMI-DECOUPLED FIRST-ORDER CORRECTION FOR SMOOTHED PARTICLE HYDRODYNAMICS | |
| dc.type | ARTĂCULO | |
| dspace.entity.type | Publication | |
| ubb.Estado | PUBLICADA | |
| ubb.Otra Reparticion | DEPARTAMENTO DE FISICA | |
| ubb.Sede | CONCEPCIĂN |
