메뉴 건너뛰기




Volumn 66, Issue 6, 2011, Pages 714-729

Kernel-based vector field reconstruction in computational fluid dynamic models

Author keywords

Computational fluid dynamics; Kernel based approximation methods; Local vector field reconstruction; Raviart Thomas (RT) elements

Indexed keywords

COMPUTATIONAL ASPECTS; COMPUTATIONAL MESH; CONSERVATION PROPERTIES; ENSTROPHY; HYDRODYNAMIC MODEL; KERNEL-BASED APPROXIMATION METHODS; LOCAL VECTOR FIELD RECONSTRUCTION; NORMAL COMPONENT; NUMERICAL EXAMPLE; PHYSICAL QUANTITIES; RAVIART-THOMAS; RECONSTRUCTION METHOD; STANDARD FINITE ELEMENT; VECTOR FIELDS; VECTOR-VALUED FUNCTION;

EID: 79956115375     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.2279     Document Type: Article
Times cited : (16)

References (41)
  • 1
    • 16244413692 scopus 로고    scopus 로고
    • Griebel M, Schweitzer MA (eds). Lecture Notes in Computational Science and Engineering, Springer: Berlin
    • Griebel M, Schweitzer MA (eds). Meshfree Methods for Partial Differential Equations. Lecture Notes in Computational Science and Engineering, vol. 26. Springer: Berlin, 2002.
    • (2002) Meshfree Methods for Partial Differential Equations , vol.26
  • 2
    • 84880376586 scopus 로고    scopus 로고
    • Griebel M, Schweitzer MA (eds). Lecture Notes in Computational Science and Engineering, Springer: Berlin
    • Griebel M, Schweitzer MA (eds). Meshfree Methods for Partial Differential Equations II. Lecture Notes in Computational Science and Engineering, vol. 43. Springer: Berlin, 2005.
    • (2005) Meshfree Methods for Partial Differential Equations II , vol.43
  • 3
    • 84880492018 scopus 로고    scopus 로고
    • Griebel M, Schweitzer MA (eds). Lecture Notes in Computational Science and Engineering, Springer: Berlin
    • Griebel M, Schweitzer MA (eds). Meshfree Methods for Partial Differential Equations III. Lecture Notes in Computational Science and Engineering, vol. 57. Springer: Berlin, 2006.
    • (2006) Meshfree Methods for Partial Differential Equations III , vol.57
  • 4
    • 78651581032 scopus 로고    scopus 로고
    • Griebel M, Schweitzer MA (eds). Lecture Notes in Computational Science and Engineering, Springer: Berlin
    • Griebel M, Schweitzer MA (eds). Meshfree Methods for Partial Differential Equations IV. Lecture Notes in Computational Science and Engineering, vol. 65. Springer: Berlin, 2008.
    • (2008) Meshfree Methods for Partial Differential Equations IV , vol.65
  • 5
    • 79956073750 scopus 로고    scopus 로고
    • Particle flow simulation by using polyharmonic splines
    • Springer: Berlin
    • Iske A. Particle flow simulation by using polyharmonic splines. Algorithms for Approximation. Springer: Berlin, 2007; 83-102.
    • (2007) Algorithms for Approximation , pp. 83-102
    • Iske, A.1
  • 6
    • 33646731541 scopus 로고    scopus 로고
    • Kernel techniques: from machine learning to meshless methods
    • Schaback R, Wendland H. Kernel techniques: from machine learning to meshless methods. Acta Numerica 2006; 15:543-639.
    • (2006) Acta Numerica , vol.15 , pp. 543-639
    • Schaback, R.1    Wendland, H.2
  • 7
    • 34548458150 scopus 로고    scopus 로고
    • Kernel-based manifold learning for statistical analysis of diffusion tensor images
    • Springer: Berlin
    • Khurd P, Verma R, Davatzikos C. Kernel-based manifold learning for statistical analysis of diffusion tensor images. Information Processing in Medical Imaging. Springer: Berlin, 2008; 581-593.
    • (2008) Information Processing in Medical Imaging , pp. 581-593
    • Khurd, P.1    Verma, R.2    Davatzikos, C.3
  • 8
    • 3042799255 scopus 로고    scopus 로고
    • Cambridge University Press: Cambridge, U.K.
    • Buhmann MD. Radial Basis Functions. Cambridge University Press: Cambridge, U.K., 2003.
    • (2003) Radial Basis Functions
    • Buhmann, M.D.1
  • 11
    • 0037922106 scopus 로고    scopus 로고
    • Convergence order estimates of meshless collocation methods using radial basis functions
    • Franke C, Schaback R. Convergence order estimates of meshless collocation methods using radial basis functions. Advances in Computational Mathematics 1998; 8:381-399.
    • (1998) Advances in Computational Mathematics , vol.8 , pp. 381-399
    • Franke, C.1    Schaback, R.2
  • 12
    • 0002245065 scopus 로고    scopus 로고
    • Solving partial differential equations by collocation using radial basis functions
    • Franke C, Schaback R. Solving partial differential equations by collocation using radial basis functions. Applied Mathematics and Computation 1998; 93:73-82.
    • (1998) Applied Mathematics and Computation , vol.93 , pp. 73-82
    • Franke, C.1    Schaback, R.2
  • 13
    • 0033465031 scopus 로고    scopus 로고
    • Meshless Galerkin methods using radial basis functions
    • Wendland H. Meshless Galerkin methods using radial basis functions. Mathematics of Computation 1999; 68:1521-1531.
    • (1999) Mathematics of Computation , vol.68 , pp. 1521-1531
    • Wendland, H.1
  • 14
    • 15544385301 scopus 로고    scopus 로고
    • Adaptive meshfree method of backward characteristics for nonlinear transport equations
    • Springer: Berlin
    • Behrens J, Iske A, Käser M. Adaptive meshfree method of backward characteristics for nonlinear transport equations. Meshfree Methods for Partial Differential Equations. Springer: Berlin, 2002; 21-36.
    • (2002) Meshfree Methods for Partial Differential Equations , pp. 21-36
    • Behrens, J.1    Iske, A.2    Käser, M.3
  • 15
    • 0030496205 scopus 로고    scopus 로고
    • On the structure of function spaces in optimal recovery of point functionals for ENO-schemes by radial basis functions
    • Iske A, Sonar T. On the structure of function spaces in optimal recovery of point functionals for ENO-schemes by radial basis functions. Numerische Mathematik 1996; 74:177-202.
    • (1996) Numerische Mathematik , vol.74 , pp. 177-202
    • Iske, A.1    Sonar, T.2
  • 16
    • 0030490166 scopus 로고    scopus 로고
    • Optimal recovery using thin plate splines in finite volume methods for the numerical solution of hyperbolic conservation laws
    • Sonar T. Optimal recovery using thin plate splines in finite volume methods for the numerical solution of hyperbolic conservation laws. IMA Journal of Numerical Analysis 1996; 16:549-581.
    • (1996) IMA Journal of Numerical Analysis , vol.16 , pp. 549-581
    • Sonar, T.1
  • 17
    • 0036467813 scopus 로고    scopus 로고
    • Grid-free adaptive semi-Lagrangian advection using radial basis functions
    • Behrens J, Iske A. Grid-free adaptive semi-Lagrangian advection using radial basis functions. Computational and Applied Mathematics 2002; 43:319-327.
    • (2002) Computational and Applied Mathematics , vol.43 , pp. 319-327
    • Behrens, J.1    Iske, A.2
  • 18
    • 0030988681 scopus 로고    scopus 로고
    • An accurate interpolating scheme for semi-Lagrangian advection on an unstructured grid for ocean modelling
    • Le Roux DY, Lin CA, Staniforth A. An accurate interpolating scheme for semi-Lagrangian advection on an unstructured grid for ocean modelling. Tellus A 1997; 49A:119-138.
    • (1997) Tellus A , vol.49 A , pp. 119-138
    • Le Roux, D.Y.1    Lin, C.A.2    Staniforth, A.3
  • 19
    • 14544299639 scopus 로고    scopus 로고
    • Semi-implicit, semi-Lagrangian environmental modelling on Cartesian grids with cut cells
    • Rosatti G, Bonaventura L, Cesari D. Semi-implicit, semi-Lagrangian environmental modelling on Cartesian grids with cut cells. Journal of Computational Physics 2005; 204:353-377.
    • (2005) Journal of Computational Physics , vol.204 , pp. 353-377
    • Rosatti, G.1    Bonaventura, L.2    Cesari, D.3
  • 20
    • 16244384510 scopus 로고    scopus 로고
    • High order interpolation methods for semi-Lagrangian models of mobile-bed river hydrodynamics on Cartesian grids with cut cells
    • Rosatti G, Bonaventura L, Chemotti R. High order interpolation methods for semi-Lagrangian models of mobile-bed river hydrodynamics on Cartesian grids with cut cells. International Journal for Numerical Methods in Fluids 2005; 47:863-869.
    • (2005) International Journal for Numerical Methods in Fluids , vol.47 , pp. 863-869
    • Rosatti, G.1    Bonaventura, L.2    Chemotti, R.3
  • 21
    • 17144370650 scopus 로고    scopus 로고
    • ADER schemes on adaptive triangular meshes for scalar conservation laws
    • Käser M, Iske A. ADER schemes on adaptive triangular meshes for scalar conservation laws. Journal of Computational Physics 2005; 205:486-508.
    • (2005) Journal of Computational Physics , vol.205 , pp. 486-508
    • Käser, M.1    Iske, A.2
  • 22
  • 23
    • 84968510026 scopus 로고
    • Generalized Hermite interpolation via matrix-valued conditionally positive definite functions
    • Narcowich FJ, Ward JD. Generalized Hermite interpolation via matrix-valued conditionally positive definite functions. Mathematics of Computation 1994; 63:661-687.
    • (1994) Mathematics of Computation , vol.63 , pp. 661-687
    • Narcowich, F.J.1    Ward, J.D.2
  • 24
    • 0002868129 scopus 로고    scopus 로고
    • Conservation properties of unstructured staggered mesh schemes
    • Perot B. Conservation properties of unstructured staggered mesh schemes. Journal of Computational Physics 2000; 159:58-89.
    • (2000) Journal of Computational Physics , vol.159 , pp. 58-89
    • Perot, B.1
  • 25
    • 0000781778 scopus 로고    scopus 로고
    • Local reconstruction of a vector field from its normal components on the faces of grid cells
    • Shashkov M, Swartz B, Wendroff B. Local reconstruction of a vector field from its normal components on the faces of grid cells. Journal of Computational Physics 1998; 139:406-409.
    • (1998) Journal of Computational Physics , vol.139 , pp. 406-409
    • Shashkov, M.1    Swartz, B.2    Wendroff, B.3
  • 28
    • 0002912621 scopus 로고
    • Two coupled particle-finite volume methods using Delaunay-Voronoi meshes for the approximation of Vlasov-Poisson and Vlasov-Maxwell equations
    • Hermeline F. Two coupled particle-finite volume methods using Delaunay-Voronoi meshes for the approximation of Vlasov-Poisson and Vlasov-Maxwell equations. Journal of Computational Physics 1993; 106:1-18.
    • (1993) Journal of Computational Physics , vol.106 , pp. 1-18
    • Hermeline, F.1
  • 30
    • 24944461801 scopus 로고    scopus 로고
    • Analysis of discrete shallow water models on geodesic Delaunay grids with C-type staggering
    • Bonaventura L, Ringler T. Analysis of discrete shallow water models on geodesic Delaunay grids with C-type staggering. Monthly Weather Review 2005; 133:2351-2373.
    • (2005) Monthly Weather Review , vol.133 , pp. 2351-2373
    • Bonaventura, L.1    Ringler, T.2
  • 34
    • 34250122797 scopus 로고
    • Interpolation of scattered data: distance matrices and conditionally positive definite functions
    • Micchelli CA. Interpolation of scattered data: distance matrices and conditionally positive definite functions. Constructive Approximation 1986; 2:11-22.
    • (1986) Constructive Approximation , vol.2 , pp. 11-22
    • Micchelli, C.A.1
  • 35
    • 79956065524 scopus 로고    scopus 로고
    • Accurate reconstruction of vector fields using radial basis functions. Master's Thesis, Munich University of Technology, Germany
    • Baudisch J. Accurate reconstruction of vector fields using radial basis functions. Master's Thesis, Munich University of Technology, Germany, 2005.
    • (2005)
    • Baudisch, J.1
  • 38
    • 0019704843 scopus 로고
    • A potential enstrophy and energy conserving scheme for the shallow water equations
    • Arakawa A, Lamb V. A potential enstrophy and energy conserving scheme for the shallow water equations. Monthly Weather Review 1981; 109:18-136.
    • (1981) Monthly Weather Review , vol.109 , pp. 18-136
    • Arakawa, A.1    Lamb, V.2
  • 39
    • 0036566625 scopus 로고    scopus 로고
    • A potential enstrophy and energy conserving numerical scheme for solution of the shallow-water equations a geodesic grid
    • Ringler TD, Randall DA. A potential enstrophy and energy conserving numerical scheme for solution of the shallow-water equations a geodesic grid. Monthly Weather Review 2002; 130:1397-1410.
    • (2002) Monthly Weather Review , vol.130 , pp. 1397-1410
    • Ringler, T.D.1    Randall, D.A.2
  • 40
    • 0001446431 scopus 로고
    • Geostrophic adjustment and the finite-difference shallow water equations
    • Randall DA. Geostrophic adjustment and the finite-difference shallow water equations. Monthly Weather Review 1994; 122:1371-1377.
    • (1994) Monthly Weather Review , vol.122 , pp. 1371-1377
    • Randall, D.A.1
  • 41
    • 0141850274 scopus 로고    scopus 로고
    • A spectral element semi-lagrangian (sesl) method for the spherical shallow water equations
    • Giraldo FX, Perot JB, Fischer PF. A spectral element semi-lagrangian (sesl) method for the spherical shallow water equations. Journal of Computational Physics 2003; 190:623-650.
    • (2003) Journal of Computational Physics , vol.190 , pp. 623-650
    • Giraldo, F.X.1    Perot, J.B.2    Fischer, P.F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.