{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/an-explicit-staggered-grid-method-for","title":"An explicit staggered-grid method for numerical simulation of large-scale natural gas pipeline networks","arxiv_id":"1803.00418","date":"2018-02-28","proceeding":null,"authors":[],"abstract":"We present an explicit second order staggered finite difference (FD)\ndiscretization scheme for forward simulation of natural gas transport in\npipeline networks. By construction, this discretization approach guarantees\nthat the conservation of mass condition is satisfied exactly. The mathematical\nmodel is formulated in terms of density, pressure, and mass flux variables, and\nas a result permits the use of a general equation of state to define the\nrelation between the gas density and pressure for a given temperature. In a\nsingle pipe, the model represents the dynamics of the density by propagation of\na non-linear wave according to a variable wave speed. We derive compatibility\nconditions for linking domain boundary values to enable efficient, explicit\nsimulation of gas flows propagating through a network with pressure changes\ncreated by gas compressors. We compare Kiuchi's implicit method and an explicit\noperator splitting method with our staggered grid method, and perform numerical\nexperiments to validate the convergence order of the new method. In addition,\nwe perform several computations to investigate the influence of non-ideal\nequation of state models and temperature effects into pipeline simulations with\nboundary conditions over various time and space scales.","url_abs":"http://arxiv.org/abs/1803.00418v1","url_pdf":"http://arxiv.org/pdf/1803.00418v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"an-explicit-staggered-grid-method-for","repo_url":"https://github.com/kaarthiksundar/gastransim.jl","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}