{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:39:31Z","timestamp":1740123571624,"version":"3.37.3"},"reference-count":31,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2016,9,23]],"date-time":"2016-09-23T00:00:00Z","timestamp":1474588800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2017,4]]},"DOI":"10.1007\/s10915-016-0295-5","type":"journal-article","created":{"date-parts":[[2016,9,23]],"date-time":"2016-09-23T12:17:05Z","timestamp":1474633025000},"page":"166-194","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Second-Order Finite-Volume Scheme for Euler Equations: Kinetic Energy Preserving and Staggering Effects"],"prefix":"10.1007","volume":"71","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7992-4139","authenticated-orcid":false,"given":"Andrea","family":"Perrotta","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bernardo","family":"Favini","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,9,23]]},"reference":[{"issue":"2","key":"295_CR1","doi-asserted-by":"crossref","first-page":"996","DOI":"10.1137\/060660151","volume":"46","author":"AL Bauer","year":"2008","unstructured":"Bauer, A.L., Loubere, R., Wendroff, B.: On stability of staggered schemes. SIAM J. Numer. Anal. 46(2), 996\u20131011 (2008)","journal-title":"SIAM J. Numer. Anal."},{"issue":"2","key":"295_CR2","doi-asserted-by":"publisher","first-page":"153","DOI":"10.1006\/jcph.1998.5914","volume":"141","author":"H Bijl","year":"1998","unstructured":"Bijl, H., Wesseling, P.: A unified method for computing incompressible and compressible flows in boundary-fitted coordinates. J. Comput. Phys. 141(2), 153\u2013173 (1998). doi: 10.1006\/jcph.1998.5914","journal-title":"J. Comput. Phys."},{"issue":"2","key":"295_CR3","doi-asserted-by":"publisher","first-page":"675","DOI":"10.1016\/j.jcp.2005.03.004","volume":"208","author":"BJ Boersma","year":"2005","unstructured":"Boersma, B.J.: A staggered compact finite difference formulation for the compressible Navier\u2013Stokes equations. J. Comput. Phys. 208(2), 675\u2013690 (2005). doi: 10.1016\/j.jcp.2005.03.004","journal-title":"J. Comput. Phys."},{"issue":"3","key":"295_CR4","doi-asserted-by":"publisher","first-page":"248","DOI":"10.1016\/0021-9991(75)90002-9","volume":"18","author":"D Book","year":"1975","unstructured":"Book, D., Boris, J., Hain, K.: Flux-corrected transport ii: generalizations of the method. J. Comput. Phys. 18(3), 248\u2013283 (1975). doi: 10.1016\/0021-9991(75)90002-9","journal-title":"J. Comput. Phys."},{"issue":"1","key":"295_CR5","doi-asserted-by":"publisher","first-page":"38","DOI":"10.1016\/0021-9991(73)90147-2","volume":"11","author":"JP Boris","year":"1973","unstructured":"Boris, J.P., Book, D.L.: Flux-corrected transport. i. Shasta, a fluid transport algorithm that works. J. Comput. Phys. 11(1), 38\u201369 (1973). doi: 10.1016\/0021-9991(73)90147-2","journal-title":"J. Comput. Phys."},{"key":"295_CR6","doi-asserted-by":"crossref","unstructured":"Burton, D.E.: Exact conservation of energy and momentum in staggered-grid hydrodynamics with arbitrary connectivity. In: Trease, H.E., Fritts, M.J., Crowley, W.P. (eds.) Advances in the Free-Lagrange Method Including Contributions on Adaptive Gridding and the Smooth Particle Hydrodynamics Method, pp. 7\u201319. Springer, Berlin, Heidelberg (1991)","DOI":"10.1007\/3-540-54960-9_34"},{"issue":"1","key":"295_CR7","doi-asserted-by":"publisher","first-page":"114","DOI":"10.1006\/jcph.2000.6492","volume":"161","author":"F Ducros","year":"2000","unstructured":"Ducros, F., Laporte, F., Soul\u00e8res, T., Guinot, V., Moinat, P., Caruelle, B.: High-order fluxes for conservative skew-symmetric-like schemes in structured meshes: application to compressible flows. J. Comput. Phys. 161(1), 114\u2013139 (2000). doi: 10.1006\/jcph.2000.6492","journal-title":"J. Comput. Phys."},{"issue":"154","key":"295_CR8","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1090\/S0025-5718-1981-0606500-X","volume":"36","author":"B Engquist","year":"1981","unstructured":"Engquist, B., Osher, S.: One-sided difference approximations for nonlinear conservation laws. Math. Comput. 36(154), 321\u2013351 (1981)","journal-title":"Math. Comput."},{"issue":"3","key":"295_CR9","first-page":"271","volume":"89","author":"SK Godunov","year":"1959","unstructured":"Godunov, S.K.: A difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics. Matematicheskii Sbornik 89(3), 271\u2013306 (1959)","journal-title":"Matematicheskii Sbornik"},{"issue":"221","key":"295_CR10","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1090\/S0025-5718-98-00913-2","volume":"67","author":"S Gottlieb","year":"1998","unstructured":"Gottlieb, S., Shu, C.W.: Total variation diminishing Runge\u2013Kutta schemes. Math. Comput. 67(221), 73\u201385 (1998)","journal-title":"Math. Comput."},{"issue":"2","key":"295_CR11","doi-asserted-by":"publisher","first-page":"197","DOI":"10.1016\/0021-9991(71)90002-7","volume":"8","author":"FH Harlow","year":"1971","unstructured":"Harlow, F.H., Amsden, A.A.: A numerical fluid dynamics calculation method for all flow speeds. J. Comput. Phys. 8(2), 197\u2013213 (1971). doi: 10.1016\/0021-9991(71)90002-7","journal-title":"J. Comput. Phys."},{"issue":"1","key":"295_CR12","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1137\/1025002","volume":"25","author":"A Harten","year":"1983","unstructured":"Harten, A., Lax, P.D., van Leer, B.: On upstream differencing and godunov-type schemes for hyperbolic conservation laws. SIAM Rev. 25(1), 35\u201361 (1983)","journal-title":"SIAM Rev."},{"issue":"3\u20134","key":"295_CR13","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1080\/10618569508904524","volume":"4","author":"A Jameson","year":"1995","unstructured":"Jameson, A.: Analysis and design of numerical schemes for gas dynamics, 1: artificial diffusion, upwind biasing, limiters and their effect on accuracy and multigrid convergence. Int. J. Comput. Fluid Dyn. 4(3\u20134), 171\u2013218 (1995)","journal-title":"Int. J. Comput. Fluid Dyn."},{"issue":"2","key":"295_CR14","doi-asserted-by":"crossref","first-page":"188","DOI":"10.1007\/s10915-007-9172-6","volume":"34","author":"A Jameson","year":"2008","unstructured":"Jameson, A.: Formulation of kinetic energy preserving conservative schemes for gas dynamics and direct numerical simulation of one-dimensional viscous compressible flow in a shock tube using entropy and kinetic energy preserving schemes. J. Sci. Comput. 34(2), 188\u2013208 (2008)","journal-title":"J. Sci. Comput."},{"issue":"4","key":"295_CR15","doi-asserted-by":"crossref","first-page":"1213","DOI":"10.1016\/j.jcp.2009.10.028","volume":"229","author":"E Johnsen","year":"2010","unstructured":"Johnsen, E., Larsson, J., Bhagatwala, A.V., Cabot, W.H., Moin, P., Olson, B.J., Rawat, P.S., Shankar, S.K., Sj\u00f6green, B., Yee, H., et al.: Assessment of high-resolution methods for numerical simulations of compressible turbulence with shock waves. J. Comput. Phys. 229(4), 1213\u20131237 (2010)","journal-title":"J. Comput. Phys."},{"issue":"9","key":"295_CR16","doi-asserted-by":"publisher","first-page":"1167","DOI":"10.2514\/3.10242","volume":"27","author":"KC Karki","year":"1989","unstructured":"Karki, K.C., Patankar, S.V.: Pressure based calculation procedure for viscous flows at all speedsin arbitrary configurations. AIAA J. 27(9), 1167\u20131174 (1989). doi: 10.2514\/3.10242","journal-title":"AIAA J."},{"issue":"10","key":"295_CR17","doi-asserted-by":"publisher","first-page":"1751","DOI":"10.2514\/3.10470","volume":"28","author":"JJ McGuirk","year":"1990","unstructured":"McGuirk, J.J., Page, G.J.: Shock capturing using a pressure-correction method. AIAA J. 28(10), 1751\u20131757 (1990). doi: 10.2514\/3.10470","journal-title":"AIAA J."},{"key":"295_CR18","unstructured":"Mesinger, F., Arakawa, A. (eds.): Numerical methods used in atmospheric models, vol. 1. GARP Publication Series, No. 17, WMO\/ICSU Joint Organizing Committee (1976)"},{"issue":"2","key":"295_CR19","doi-asserted-by":"crossref","first-page":"276","DOI":"10.1016\/j.jcp.2009.09.021","volume":"229","author":"Y Morinishi","year":"2010","unstructured":"Morinishi, Y.: Skew-symmetric form of convective terms and fully conservative finite difference schemes for variable density low-mach number flows. J. Comput. Phys. 229(2), 276\u2013300 (2010)","journal-title":"J. Comput. Phys."},{"issue":"2","key":"295_CR20","doi-asserted-by":"publisher","first-page":"392","DOI":"10.1016\/S0021-9991(03)00322-X","volume":"191","author":"S Nagarajan","year":"2003","unstructured":"Nagarajan, S., Lele, S.K., Ferziger, J.H.: A robust high-order compact method for large eddy simulation. J. Comput. Phys. 191(2), 392\u2013419 (2003). doi: 10.1016\/S0021-9991(03)00322-X","journal-title":"J. Comput. Phys."},{"issue":"1","key":"295_CR21","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1016\/0045-7930(85)90031-3","volume":"13","author":"M Pandolfi","year":"1985","unstructured":"Pandolfi, M.: Computation of steady supersonic flows by a flux-difference\/splitting method. Comput. Fluids 13(1), 37\u201346 (1985)","journal-title":"Comput. Fluids"},{"issue":"2","key":"295_CR22","doi-asserted-by":"publisher","first-page":"357","DOI":"10.1016\/0021-9991(81)90128-5","volume":"43","author":"P Roe","year":"1981","unstructured":"Roe, P.: Approximate riemann solvers, parameter vectors, and difference schemes. J. Comput. Phys. 43(2), 357\u2013372 (1981). doi: 10.1016\/0021-9991(81)90128-5","journal-title":"J. Comput. Phys."},{"issue":"2","key":"295_CR23","doi-asserted-by":"crossref","first-page":"439","DOI":"10.1016\/0021-9991(88)90177-5","volume":"77","author":"CW Shu","year":"1988","unstructured":"Shu, C.W., Osher, S.: Efficient implementation of essentially non-oscillatory shock-capturing schemes. J. Comput. Phys. 77(2), 439\u2013471 (1988)","journal-title":"J. Comput. Phys."},{"key":"295_CR24","unstructured":"Shyy, W., Braaten, M.: Adaptive grid computation for inviscid compressible flows using a pressure correction method. In: AIAA, ASME, SIAM and APS, National Fluid Dynamics Congress, pp. 112\u2013120 (1988). http:\/\/adsabs.harvard.edu\/abs\/1988aiaa.conf..112S"},{"issue":"1","key":"295_CR25","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0021-9991(78)90023-2","volume":"27","author":"GA Sod","year":"1978","unstructured":"Sod, G.A.: A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws. J. Comput. Phys. 27(1), 1\u201331 (1978)","journal-title":"J. Comput. Phys."},{"key":"295_CR26","doi-asserted-by":"crossref","DOI":"10.1007\/b79761","volume-title":"Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction","author":"EF Toro","year":"2009","unstructured":"Toro, E.F.: Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction. Springer, Berlin (2009)"},{"issue":"2","key":"295_CR27","doi-asserted-by":"publisher","first-page":"268","DOI":"10.1115\/1.3262097","volume":"109","author":"JP Doormaal Van","year":"1987","unstructured":"Van Doormaal, J.P., Raithby, G.D., McDonald, B.H.: The segregated approach to predicting viscous compressible fluid flows. J. Turbomach. 109(2), 268\u2013277 (1987). doi: 10.1115\/1.3262097","journal-title":"J. Turbomach."},{"issue":"3","key":"295_CR28","doi-asserted-by":"publisher","first-page":"232","DOI":"10.1063\/1.1699639","volume":"21","author":"J Neumann von","year":"1950","unstructured":"von Neumann, J., Richtmyer, R.D.: A method for the numerical calculation of hydrodynamic shocks. J. Appl. Phys. 21(3), 232\u2013237 (1950). doi: 10.1063\/1.1699639","journal-title":"J. Appl. Phys."},{"key":"295_CR29","unstructured":"Wenneker, I., Segal, G., Wesseling, P.: Computation of compressible flows on unstructured staggered grids. In: O $$\\tilde{{\\rm n}}$$ n ~ ate, E.O., Bugeda, G. Su\u00e1rez, B. (eds.) Proceedings European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS, vol. 2 (2000)"},{"issue":"3","key":"295_CR30","doi-asserted-by":"publisher","first-page":"281","DOI":"10.1016\/0021-9991(80)90161-8","volume":"36","author":"ML Wilkins","year":"1980","unstructured":"Wilkins, M.L.: Use of artificial viscosity in multidimensional fluid dynamic calculations. J. Comput. Phys. 36(3), 281\u2013303 (1980). doi: 10.1016\/0021-9991(80)90161-8","journal-title":"J. Comput. Phys."},{"issue":"3","key":"295_CR31","doi-asserted-by":"publisher","first-page":"335","DOI":"10.1016\/0021-9991(79)90051-2","volume":"31","author":"ST Zalesak","year":"1979","unstructured":"Zalesak, S.T.: Fully multidimensional flux-corrected transport algorithms for fluids. J. Comput. Phys. 31(3), 335\u2013362 (1979). doi: 10.1016\/0021-9991(79)90051-2","journal-title":"J. Comput. Phys."}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-016-0295-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-016-0295-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-016-0295-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,24]],"date-time":"2017-06-24T19:34:10Z","timestamp":1498332850000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-016-0295-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,9,23]]},"references-count":31,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2017,4]]}},"alternative-id":["295"],"URL":"https:\/\/doi.org\/10.1007\/s10915-016-0295-5","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"type":"print","value":"0885-7474"},{"type":"electronic","value":"1573-7691"}],"subject":[],"published":{"date-parts":[[2016,9,23]]}}}