{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,30]],"date-time":"2025-09-30T00:16:50Z","timestamp":1759191410424},"publisher-location":"Berlin, Heidelberg","reference-count":16,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540751861"},{"type":"electronic","value":"9783540751878"}],"license":[{"start":{"date-parts":[[2007,1,1]],"date-time":"2007-01-01T00:00:00Z","timestamp":1167609600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2007]]},"DOI":"10.1007\/978-3-540-75187-8_8","type":"book-chapter","created":{"date-parts":[[2007,9,1]],"date-time":"2007-09-01T15:13:38Z","timestamp":1188659618000},"page":"102-117","source":"Crossref","is-referenced-by-count":1,"title":["Stability Investigation of a Difference Scheme for Incompressible Navier-Stokes Equations"],"prefix":"10.1007","author":[{"given":"Dmytro","family":"Chibisov","sequence":"first","affiliation":[]},{"given":"Victor","family":"Ganzha","sequence":"additional","affiliation":[]},{"given":"Ernst W.","family":"Mayr","sequence":"additional","affiliation":[]},{"given":"Evgenii V.","family":"Vorozhtsov","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"8_CR1","doi-asserted-by":"publisher","first-page":"660","DOI":"10.1006\/jcph.1999.6275","volume":"153","author":"S.W. Armfield","year":"1999","unstructured":"Armfield, S.W., Street, R.: The fractional-step method for the Navier-Stokes equations on staggered grids: the accuracy of three variations. J. Comp.\u00a0Phys.\u00a0153, 660\u2013665 (1999)","journal-title":"J. Comp.\u00a0Phys."},{"key":"8_CR2","doi-asserted-by":"publisher","first-page":"899","DOI":"10.1063\/1.869626","volume":"10","author":"B.J. Boersma","year":"1998","unstructured":"Boersma, B.J., Brethower, G., Nieuwstadt, F.T.M.: A numerical investigtion on the effect of the inflow conditions on the self-similar region of a round jet. Phys.\u00a0Fluids\u00a010, 899\u2013909 (1998)","journal-title":"Phys.\u00a0Fluids"},{"key":"8_CR3","doi-asserted-by":"crossref","DOI":"10.1002\/9781118032602","volume-title":"Computer-Aided Analysis of Difference Schemes for Partial Differential Equations","author":"V.G. Ganzha","year":"1996","unstructured":"Ganzha, V.G., Vorozhtsov, E.V.: Computer-Aided Analysis of Difference Schemes for Partial Differential Equations. Wiley-Interscience, New York (1996)"},{"key":"8_CR4","volume-title":"Numerical Solution for Partial Differential Equations: Problem Solving Using Mathematica","author":"V.G. Ganzha","year":"1996","unstructured":"Ganzha, V.G., Vorozhtsov, E.V.: Numerical Solution for Partial Differential Equations: Problem Solving Using Mathematica. CRC Press, Boca Raton, Ann Arbor (1996)"},{"key":"8_CR5","doi-asserted-by":"publisher","first-page":"607","DOI":"10.1016\/S0378-4754(96)00037-7","volume":"42","author":"V.G. Ganzha","year":"1996","unstructured":"Ganzha, V.G., Vorozhtsov, E.V.: Symbolic-numerical computation of the stability regions for Jameson\u2019s schemes. Mathematics and Computers in Simulation\u00a042, 607\u2013615 (1996)","journal-title":"Mathematics and Computers in Simulation"},{"key":"8_CR6","doi-asserted-by":"publisher","first-page":"2182","DOI":"10.1063\/1.1761178","volume":"8","author":"F.H. Harlow","year":"1965","unstructured":"Harlow, F.H., Welch, J.E.: Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys. Fluids\u00a08, 2182\u20132189 (1965)","journal-title":"Phys. Fluids"},{"issue":"1","key":"8_CR7","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1134\/S1531869906010059","volume":"13","author":"B.B. Ilyushin","year":"2006","unstructured":"Ilyushin, B.B., Krasinsky, D.V.: Large eddy simulation of the turbulent round jet dynamics. Thermophysics and Aeromechanics\u00a013(1), 43\u201354 (2006)","journal-title":"Thermophysics and Aeromechanics"},{"key":"8_CR8","doi-asserted-by":"publisher","first-page":"308","DOI":"10.1016\/0021-9991(85)90148-2","volume":"59","author":"J. Kim","year":"1985","unstructured":"Kim, J., Moin, P.: Application of a fractional-step method to incompressible Navier-Stokes equations. J. Comp.\u00a0Phys.\u00a059, 308\u2013323 (1985)","journal-title":"J. Comp.\u00a0Phys."},{"key":"8_CR9","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/S0021-9991(02)00013-X","volume":"184","author":"M.P. Kirkpatrick","year":"2003","unstructured":"Kirkpatrick, M.P., Armfield, S.W., Kent, J.H.: A representtion of curved boundaries for the solution of the Navier-Stokes equations on a staggered three-dimensional Cartesian grid. J. Comp.\u00a0Phys.\u00a0184, 1\u201336 (2003)","journal-title":"J. Comp.\u00a0Phys."},{"key":"8_CR10","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.jcp.2005.03.031","volume":"210","author":"S. Marella","year":"2005","unstructured":"Marella, S., Krishnan, S., Liu, H., Udaykumar, H.S.: Sharp interface Cartesian grid method I: An easily implemented technique for 3D moving boundary computations. J. Comp.\u00a0Phys.\u00a0210, 1\u201331 (2005)","journal-title":"J. Comp.\u00a0Phys."},{"key":"8_CR11","doi-asserted-by":"publisher","first-page":"435","DOI":"10.1006\/jcph.1996.0035","volume":"123","author":"M.L. Minion","year":"1996","unstructured":"Minion, M.L.: On the stability of Godunov-projection methods for incompressible flow. J. Comp.\u00a0Phys.\u00a0123, 435\u2013449 (1996)","journal-title":"J. Comp.\u00a0Phys."},{"key":"8_CR12","unstructured":"Roache, P.J.: Computational Fluid Dynamics. Hermosa, Albuquerque, New Mexico (1976)"},{"key":"8_CR13","volume-title":"Aerodynamics of the Airplane","author":"H. Schlichting","year":"1979","unstructured":"Schlichting, H., Truckenbrodt, E.: Aerodynamics of the Airplane. McGraw-Hill, New York (1979)"},{"key":"8_CR14","doi-asserted-by":"publisher","first-page":"448","DOI":"10.1016\/j.jcp.2005.03.017","volume":"209","author":"M. Uhlmann","year":"2005","unstructured":"Uhlmann, M.: An immersed boundary method with direct forcing for the simulation of particulate flows. J. Comp.\u00a0Phys.\u00a0209, 448\u2013476 (2005)","journal-title":"J. Comp.\u00a0Phys."},{"key":"8_CR15","unstructured":"van der Vorst: Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems. SIAM J. Sci. Statist. Comput. 13, 631\u2013644 (1992)"},{"key":"8_CR16","doi-asserted-by":"publisher","first-page":"12","DOI":"10.1016\/j.jcp.2005.10.035","volume":"215","author":"J. Yang","year":"2006","unstructured":"Yang, J., Balaras, E.: An embedded-boundary formulation for large-eddy simulation of turbulent flows interacting with moving boundaries. J. Comp.\u00a0Phys.\u00a0215, 12\u201340 (2006)","journal-title":"J. Comp.\u00a0Phys."}],"container-title":["Lecture Notes in Computer Science","Computer Algebra in Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-75187-8_8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,22]],"date-time":"2019-05-22T01:59:39Z","timestamp":1558490379000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-75187-8_8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007]]},"ISBN":["9783540751861","9783540751878"],"references-count":16,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-75187-8_8","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2007]]}}}