메뉴 건너뛰기




Volumn 47, Issue 2, 2009, Pages 361-372

Implicit nonlinear frequency-domain spectral-difference scheme for periodic euler flow

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENCE SCHEMES; DISCRETIZATION; EULER FLOWS; GAUSS-SEIDEL METHODS; HIGH ORDERS; HIGH-ORDER ACCURACIES; HIGH-ORDER SCHEMES; IMPLICIT TREATMENTS; NONLINEAR FREQUENCIES; PERIODIC FLOWS; SUBSONIC AIRFOILS; TEST CASE; TWO-DIMENSIONAL;

EID: 60049087638     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.37978     Document Type: Article
Times cited : (22)

References (28)
  • 1
    • 0036572063 scopus 로고    scopus 로고
    • Computation of Unsteady Nonlinear Flows in Cascades Using a Harmonic Balance Technique
    • Hall, K. C, Thomas, J. P., and Clark, W. S., "Computation of Unsteady Nonlinear Flows in Cascades Using a Harmonic Balance Technique," AIAA Journal, Vol. 40, No. 5, 2002, pp. 879-886.
    • (2002) AIAA Journal , vol.40 , Issue.5 , pp. 879-886
    • Hall, K.C.1    Thomas, J.P.2    Clark, W.S.3
  • 2
    • 85086615843 scopus 로고    scopus 로고
    • Acceleration of Convergence to a Periodic Steady State in Turbomachinery Flows
    • AIAA Paper 01-0152, Reno, NV, Jan
    • McMullen, M., Jameson, A., and Alonso, J., "Acceleration of Convergence to a Periodic Steady State in Turbomachinery Flows," 39th Aerospace Sciences Meeting and Exhibit, AIAA Paper 01-0152, Reno, NV, Jan. 2001.
    • (2001) 39th Aerospace Sciences Meeting and Exhibit
    • McMullen, M.1    Jameson, A.2    Alonso, J.3
  • 3
    • 84894380533 scopus 로고    scopus 로고
    • Application of a Non-Linear Frequency Domain Solver to the Euler and Navier-Stokes Equations
    • AIAA Paper 02-0120, Reno, NV, Jan
    • McMullen, M., Jameson, A., and Alonso, J., "Application of a Non-Linear Frequency Domain Solver to the Euler and Navier-Stokes Equations," 40th Aerospace Sciences Meeting and Exhibit, AIAA Paper 02-0120, Reno, NV, Jan. 2002.
    • (2002) 40th Aerospace Sciences Meeting and Exhibit
    • McMullen, M.1    Jameson, A.2    Alonso, J.3
  • 4
    • 35448938710 scopus 로고    scopus 로고
    • Convergence Studies of the Time Accurate and Non-Linear Frequency Domain Methods for Optimum Shape Design
    • doi:10.1080/10618560701577328
    • Nadarajah, S., "Convergence Studies of the Time Accurate and Non-Linear Frequency Domain Methods for Optimum Shape Design," International Journal of Computational Fluid Dynamics, Vol. 21, No. 5, 2007, pp. 189-207. doi:10.1080/10618560701577328
    • (2007) International Journal of Computational Fluid Dynamics , vol.21 , Issue.5 , pp. 189-207
    • Nadarajah, S.1
  • 5
    • 30744454584 scopus 로고    scopus 로고
    • Time Spectral Method for Periodic Unsteady Computations over Two- and Three-Dimensional Bodies
    • AIAA Paper 2005-1220, Reno, NV, Jan
    • Gopinath, A., and Jameson, A., "Time Spectral Method for Periodic Unsteady Computations over Two- and Three-Dimensional Bodies," 43th Aerospace Sciences Meeting and Exhibit, AIAA Paper 2005-1220, Reno, NV, Jan. 2005.
    • (2005) 43th Aerospace Sciences Meeting and Exhibit
    • Gopinath, A.1    Jameson, A.2
  • 6
    • 0030118562 scopus 로고    scopus 로고
    • A Conservative Staggered-Grid Chebyshev Multidomain Method for Compressible Flows
    • doi:10.1006/jcph.1996.0091
    • Kopriva, D., and Kolias, J., "A Conservative Staggered-Grid Chebyshev Multidomain Method for Compressible Flows," Journal of Computational Physics, Vol. 125, No. 1, 1996, pp. 244-261. doi:10.1006/jcph.1996.0091
    • (1996) Journal of Computational Physics , vol.125 , Issue.1 , pp. 244-261
    • Kopriva, D.1    Kolias, J.2
  • 7
    • 0030587999 scopus 로고    scopus 로고
    • A Conservative Staggered-Grid Chebyshev Multidomain Method for Compressible Flows. 2: A Semi-Structured Method
    • doi:10.1006/jcph.1996.0225
    • Kopriva, D., "A Conservative Staggered-Grid Chebyshev Multidomain Method for Compressible Flows. 2: A Semi-Structured Method," Journal of Computational Physics, Vol. 128, No. 2, 1996, pp. 475-488. doi:10.1006/jcph.1996.0225
    • (1996) Journal of Computational Physics , vol.128 , Issue.2 , pp. 475-488
    • Kopriva, D.1
  • 8
    • 33646897364 scopus 로고    scopus 로고
    • Spectral Difference Method for Unstructured Grids 1: Basic Formulation
    • doi:10.1016/j.jcp.2006.01.024
    • Liu, Y., Vinokur, M., and Wang, Z. J., "Spectral Difference Method for Unstructured Grids 1: Basic Formulation," Journal of Computational Physics, Vol. 216, No. 2, 2006, pp. 780-801. doi:10.1016/j.jcp.2006.01.024
    • (2006) Journal of Computational Physics , vol.216 , Issue.2 , pp. 780-801
    • Liu, Y.1    Vinokur, M.2    Wang, Z.J.3
  • 9
    • 84884972203 scopus 로고    scopus 로고
    • The Spectral Difference Method for the 2-D Euler Equations on Unstructured Grids
    • AIAA Paper 2005-5112, Toronto, June
    • Wang, Z., and Liu, Y., "The Spectral Difference Method for the 2-D Euler Equations on Unstructured Grids," 17th AIAA Computational Fluid Dynamics Conference, AIAA Paper 2005-5112, Toronto, June 2005.
    • (2005) 17th AIAA Computational Fluid Dynamics Conference
    • Wang, Z.1    Liu, Y.2
  • 10
    • 34047238235 scopus 로고    scopus 로고
    • High-Order Multidomain Spectral Difference Method for the Navier-Stokes Equations on Unstructured Hexahedral Grids
    • Sun, Y., Wang, Z., and Liu, Y., "High-Order Multidomain Spectral Difference Method for the Navier-Stokes Equations on Unstructured Hexahedral Grids," Communications in Computational Physics, Vol. 2, No. 2, 2007, pp. 310-333.
    • (2007) Communications in Computational Physics , vol.2 , Issue.2 , pp. 310-333
    • Sun, Y.1    Wang, Z.2    Liu, Y.3
  • 11
    • 34250737918 scopus 로고    scopus 로고
    • A Spectral Difference Method for the Euler and Navier-Stokes Equations on Unstructured Meshes
    • AIAA Paper 2006-304, Reno, NV, Jan
    • May, G., and Jameson, A., "A Spectral Difference Method for the Euler and Navier-Stokes Equations on Unstructured Meshes," 44th Aerospace Sciences Meeting and Exhibit, AIAA Paper 2006-304, Reno, NV, Jan. 2006.
    • (2006) 44th Aerospace Sciences Meeting and Exhibit
    • May, G.1    Jameson, A.2
  • 12
    • 84966246413 scopus 로고
    • TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws 2: General Framework
    • doi:10.2307/2008474
    • Cockburn, B., and Shu, C.-W., "TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws 2: General Framework," Mathematics of Computation, Vol. 52, No. 186, 1989, pp. 411-435. doi:10.2307/2008474
    • (1989) Mathematics of Computation , vol.52 , Issue.186 , pp. 411-435
    • Cockburn, B.1    Shu, C.-W.2
  • 13
    • 0001690553 scopus 로고    scopus 로고
    • The Runge-Kutta Discontinuous Galerkin Method for Conservation Laws 5: Multidimensional Systems
    • doi:10.1006/jcph.1998.5892
    • Cockburn, B., and Shu, C.-W., "The Runge-Kutta Discontinuous Galerkin Method for Conservation Laws 5: Multidimensional Systems," Journal of Computational Physics, Vol. 141, No. 2, 1998, pp. 199-224. doi:10.1006/jcph.1998.5892
    • (1998) Journal of Computational Physics , vol.141 , Issue.2 , pp. 199-224
    • Cockburn, B.1    Shu, C.-W.2
  • 14
    • 0036570604 scopus 로고    scopus 로고
    • Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids 1: Basic Formulation
    • doi:10.1006/jcph.2002.7041
    • Wang, Z., "Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids 1: Basic Formulation," Journal of Computational Physics, Vol. 178, No. 1,2002, pp. 210-251. doi:10.1006/jcph.2002.7041
    • (2002) Journal of Computational Physics , vol.178 , Issue.1 , pp. 210-251
    • Wang, Z.1
  • 15
    • 1442307691 scopus 로고    scopus 로고
    • Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids 4: Extension to Two-Dimensional Systems
    • doi:10.1016/j.jcp.2003.09.012
    • Wang, Z., Zhang, L., and Liu, Y., "Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids 4: Extension to Two-Dimensional Systems," Journal of Computational Physics, Vol. 194, No. 2, 2004, pp. 716-741. doi:10.1016/j.jcp.2003.09.012
    • (2004) Journal of Computational Physics , vol.194 , Issue.2 , pp. 716-741
    • Wang, Z.1    Zhang, L.2    Liu, Y.3
  • 16
    • 35648963031 scopus 로고    scopus 로고
    • A Flux Reconstruction Approach to High Order Schemes Including Discontinuous Galerkin Methods
    • AIAA CFD Paper 2007-4079
    • Huynh, H. T., "A Flux Reconstruction Approach to High Order Schemes Including Discontinuous Galerkin Methods," AIAA CFD Conference, AIAA Paper 2007-4079, 2007.
    • (2007) Conference, AIAA
    • Huynh, H.T.1
  • 17
    • 36148968111 scopus 로고    scopus 로고
    • On the Connection Between the Spectral Volume and Spectral Difference Method
    • doi:10.1016/j.jcp.2007.08.030
    • Van den Abeele, K., Lacor, C, and Wang, Z., "On the Connection Between the Spectral Volume and Spectral Difference Method," Journal of Computational Physics, Vol. 227, No. 2, 2007, pp. 877-885. doi:10.1016/j.jcp.2007.08.030
    • (2007) Journal of Computational Physics , vol.227 , Issue.2 , pp. 877-885
    • Van den Abeele, K.1    Lacor, C.2    Wang, Z.3
  • 18
    • 54149107259 scopus 로고    scopus 로고
    • On the Stability and Accuracy of the Spectral Difference Method
    • Nov, doi:10.1007/s10915-008- 9201-0
    • Van den Abeele, K., Lacor, C, and Wang, Z., "On the Stability and Accuracy of the Spectral Difference Method," Journal of Scientific Computing, Vol. 37, No. 2, Nov. 2008, pp. 162-188. doi:10.1007/s10915-008- 9201-0, 2008
    • (2008) Journal of Scientific Computing , vol.37 , Issue.2 , pp. 162-188
    • Van den Abeele, K.1    Lacor, C.2    Wang, Z.3
  • 19
    • 0001328401 scopus 로고
    • Calculation of Interaction of Non-Steady Shock Waves with Obstacles
    • Rusanov, V. V., "Calculation of Interaction of Non-Steady Shock Waves with Obstacles," Computational Mathematics and Mathematical Physics, Vol. 1, 1961, pp. 267-279.
    • (1961) Computational Mathematics and Mathematical Physics , vol.1 , pp. 267-279
    • Rusanov, V.V.1
  • 20
    • 2942757053 scopus 로고
    • Approximate Riemann Solvers, Parameter Vectors and Difference schemes
    • doi:10.1016/0021-9991(81)90128-5
    • Roe, P., "Approximate Riemann Solvers, Parameter Vectors and Difference schemes," Journal of Computational Physics, Vol. 43, No. 2, 1981, pp. 357-372. doi:10.1016/0021-9991(81)90128-5
    • (1981) Journal of Computational Physics , vol.43 , Issue.2 , pp. 357-372
    • Roe, P.1
  • 21
    • 0031537299 scopus 로고    scopus 로고
    • High-Order Accurate Discontinuous Finite Element Solution of the 2-D Euler Equations
    • doi:10.1006/jcph.1997.5454
    • Bassi, F., and Rebay, S., "High-Order Accurate Discontinuous Finite Element Solution of the 2-D Euler Equations," Journal of Computational Physics, Vol. 138, No. 2, 1997, pp. 251-285. doi:10.1006/jcph.1997.5454
    • (1997) Journal of Computational Physics , vol.138 , Issue.2 , pp. 251-285
    • Bassi, F.1    Rebay, S.2
  • 22
    • 25444507957 scopus 로고    scopus 로고
    • Extension of the Spectral Volume Method to High-Order Boundary Representation
    • doi:10.1016/j.jcp.2005.05.022
    • Wang, Z., and Liu, Y., "Extension of the Spectral Volume Method to High-Order Boundary Representation." Journal of Computational Physics, Vol. 211, No. 1, 2006, pp. 154-178. doi:10.1016/j.jcp.2005.05.022
    • (2006) Journal of Computational Physics , vol.211 , Issue.1 , pp. 154-178
    • Wang, Z.1    Liu, Y.2
  • 23
    • 29144466994 scopus 로고    scopus 로고
    • The Application of a Non-Linear Frequency Domain Solver to the Euler and Navier-Stokes Equations,
    • Ph.D. Thesis, Dept. of Aeronautics and Astronautics, Stanford Univ, Stanford, CA, Mar
    • McMullen, M., "The Application of a Non-Linear Frequency Domain Solver to the Euler and Navier-Stokes Equations," Ph.D. Thesis, Dept. of Aeronautics and Astronautics, Stanford Univ., Stanford, CA, Mar. 2003.
    • (2003)
    • McMullen, M.1
  • 24
    • 0007722802 scopus 로고    scopus 로고
    • Multistage Schemes with Multigrid for Euler and Navier-Stokes Equations-Components and Analysis
    • Aug
    • Swanson, R., and Turkel, E., "Multistage Schemes with Multigrid for Euler and Navier-Stokes Equations-Components and Analysis," NASA TP 3631, Aug. 1997.
    • (1997) NASA TP , vol.3631
    • Swanson, R.1    Turkel, E.2
  • 25
    • 34250902487 scopus 로고    scopus 로고
    • Efficient Implicit LU-SGS Algorithm for High-Order Spectral Difference Method on Unstructured Hexahedral Grids
    • AIAA Paper 2007-0313, Reno, NV, Jan
    • Sun, Y., Wang, Z., Liu, Y., and Chen, C, "Efficient Implicit LU-SGS Algorithm for High-Order Spectral Difference Method on Unstructured Hexahedral Grids," 45th Aerospace Sciences Meeting and Exhibit, AIAA Paper 2007-0313, Reno, NV, Jan. 2007.
    • (2007) 45th Aerospace Sciences Meeting and Exhibit
    • Sun, Y.1    Wang, Z.2    Liu, Y.3    Chen, C.4
  • 26
    • 18344373797 scopus 로고    scopus 로고
    • A High-Order Discontinuous Galerkin Multigird Solver for Aerodynamic Applications,
    • M.S. Thesis, Dept. of Aeronautics and Astronautics, Massachusetts Inst, of Technology, Cambridge, MA, June
    • Fidkwoski, K., "A High-Order Discontinuous Galerkin Multigird Solver for Aerodynamic Applications," M.S. Thesis, Dept. of Aeronautics and Astronautics, Massachusetts Inst, of Technology, Cambridge, MA, June 2004.
    • (2004)
    • Fidkwoski, K.1
  • 27
    • 0000034725 scopus 로고    scopus 로고
    • Essentially Non-Oscillatory and Weighted Essentially Non-Oscillatory Schemes for Hyperbolic Conservation Laws
    • Springer-Verlag, Berlin
    • Shu, C.-W., Essentially Non-Oscillatory and Weighted Essentially Non-Oscillatory Schemes for Hyperbolic Conservation Laws, Lecture Notes in Mathematics, Vol. 1697, Springer-Verlag, Berlin, 1998, p. 325.
    • (1998) Lecture Notes in Mathematics , vol.1697 , pp. 325
    • Shu, C.-W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.