Simple Central Algorithms for Capturing Contact-Discontinuity in Multi-Component Mixture Equations with Stiffened Gas Equation of State.

Simple Central Algorithms for Capturing Contact-Discontinuity in Multi-Component Mixture Equations with Stiffened Gas Equation of State. | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Method Article Simple Central Algorithms for Capturing Contact-Discontinuity in Multi-Component Mixture Equations with Stiffened Gas Equation of State. Ramesh Kolluru, Raghurama Rao S V, Sekhar G N This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3923497/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract This study introduces the creation of straightforward and reliable algorithms aimed at simulating compressible Euler equations featuring a stiffened gas equation of state (EOS). These algorithms are crafted to faithfully depict gaseous mixtures in thermal equilibrium, excluding chemical reactions. The methodology relies on a fully conservative approach within a finite volume framework, employing central schemes with controlled numerical diffusion. The RICCA and MOVERS+ algorithms implement two models, specifically Mass fraction (Y) and Mixture gamma $(\gamma)$ based models. These models adeptly capture the fundamental characteristics of flow fields. Rigorous testing of the numerical schemes ensures the minimization of pressure oscillations and the preservation of mass fraction positivity, especially in first-order numerical methods. A series of one-dimensional (1D) and two-dimensional (2D) test cases are presented to showcase the effectiveness and precision of the developed algorithms. These tests provide compelling evidence of the algorithms' resilience and accuracy in simulating the intended flow phenomena. MOVERS+ RICCA Contact-discontinuity γ− based approach Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. 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