{"677806":{"#nid":"677806","#data":{"type":"event","title":"Phd Defense by Chase Leibenguth","body":[{"value":"\u003Cp\u003E\u003Cstrong\u003EChase Leibenguth\u003C\/strong\u003E\u003Cbr\u003E\u003Cem\u003E(Advisor: Prof. Dimitri Mavris]\u003C\/em\u003E\u003C\/p\u003E\u003Cp\u003E\u003Cem\u003Ewill defend a doctoral thesis entitled,\u003C\/em\u003E\u003C\/p\u003E\u003Cp\u003E\u003Cstrong\u003EVIDEC-CFD: A Methodology for Variational Integration of a Discrete Exterior Calculus-Based Computational Fluid Dynamics Formulation\u003C\/strong\u003E\u003C\/p\u003E\u003Cp\u003E\u003Cem\u003EOn\u003C\/em\u003E\u003C\/p\u003E\u003Cp\u003E\u003Cstrong\u003EThursday, October 31 at 9:30 a.m.\u0026nbsp;\u003C\/strong\u003E\u003Cbr\u003E\u003Cem\u003EIn\u003C\/em\u003E\u003C\/p\u003E\u003Cp\u003E\u003Cem\u003E\u003Cstrong\u003EWeber SST, CoVE\u003C\/strong\u003E\u003C\/em\u003E\u003C\/p\u003E\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\u003Cp\u003E\u003Ca href=\u0022https:\/\/teams.microsoft.com\/l\/meetup-join\/19%3ameeting_ZTg4MTUzZWMtYTAyNC00OGM3LWJlNGItZWQyN2ExZjEwZTdl%40thread.v2\/0?context=%7b%22Tid%22%3a%22482198bb-ae7b-4b25-8b7a-6d7f32faa083%22%2c%22Oid%22%3a%2218174f3e-de37-4cae-a0a8-63a2d20ee72c%22%7d\u0022 target=\u0022_blank\u0022 title=\u0022Meeting join link\u0022\u003E\u003Cem\u003E\u003Cstrong\u003EJoin the meeting now\u003C\/strong\u003E\u003C\/em\u003E\u003C\/a\u003E\u003C\/p\u003E\u003Cp\u003E\u003Cstrong\u003EAbstract\u003C\/strong\u003E\u003Cbr\u003EComputational Fluid Dynamics has revolutionized the design process of aerospace systems in the decades since its introduction. The improvements provided by CFD in conjunction with physical experiments have enabled database creation for aerospace design, design cycle cost and time reductions, and experimental extrapolation corrections for full-scale flight vehicles at in-flight Reynolds Numbers. Despite such valuable applications, there are critical shortcomings in current CFD methodologies.\u003C\/p\u003E\u003Cp\u003ETurbulent vortex formation, shedding, and interactions with the surrounding flow field are difficult to resolve without significant financial and computational cost and complexity. Furthermore, fundamental invariants, such as circulation and angular momentum, are not conserved in discretized space-time. These quantities may be conserved at the limit of a steady-state solution or an infinitely refined mesh, however, not all problems have such properties. Failing to preserve these invariants will affect the final obtained solution.\u003C\/p\u003E\u003Cp\u003EAn area of research that shows promise involves Consistent Spatial Discretization and Discrete Exterior Calculus-based CFD solvers. The governing equations of fluid mechanics are re-derived using operators from Discrete Differential Geometry and Topology. These operators enable the inherent, exact conservation of theorems, such as Stokes\u0027 or Noether\u0027s, in the flow domain. Discrete analogs have been constructed that take these operators from a continuous domain to a discretized space.\u003C\/p\u003E\u003Cp\u003ESo far, DEC-based solvers have been derived and applied to viscous and inviscid incompressible flows using only the continuity and momentum equations. No turbulence models were required to resolve turbulent phenomena that arose as flows moved from inviscid to highly viscous. The inherent preservation of underlying geometric quantities related to the governing equations and fundamental physical invariants on a discretized domain mitigated the need for additional models. Application of variational integrators enabled discrete time integration that preserves fundamental invariants during numerical integration in time. However, all of these methodologies relied specifically on the divergence-free velocity field present in an incompressible flow.\u003C\/p\u003E\u003Cp\u003EThe goal of the following research is to extend the cited methodologies to include the energy and entropy equations for modeling viscous, compressible, subsonic flows. The energy equation is essential to this extension to account for viscous dissipation effects on a compressible fluid. The entropy equation is included alongside specific variable definitions to ensure the combined set of continuous and discrete governing equations are Thermodynamically Consistent. That requirement ensures the governing equations inherently satisfy the 1st and 2nd Laws of Thermodynamics topologically.\u003C\/p\u003E\u003Cp\u003EThe first major research contribution is the derivation of the full set of governing equations of fluid mechanics from a Least Action Principle obtained from a symmetric Lie-Bracket and anti-symmetric Poisson Bracket. The second contribution is the derivation of a coordinate free representation of the viscous dissipation function in terms of DEC operators for a viscous, compressible, homogenous, single-phase Newtonian fluid.\u003C\/p\u003E\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\u003Cp\u003E\u003Cstrong\u003ECommittee\u003C\/strong\u003E\u003C\/p\u003E\u003Cul\u003E\u003Cli\u003EProf. Dimitri Mavris \u2013 School of Aerospace Engineering (advisor)\u003C\/li\u003E\u003Cli\u003EProf. Marilyn Smith \u2013 School of Aerospace Engineering\u003C\/li\u003E\u003Cli\u003EProf. Graeme Kennedy \u2013 School of Aerospace Engineering\u003C\/li\u003E\u003Cli\u003EProf. John Etnyre \u2013 School of Mathematics\u003C\/li\u003E\u003Cli\u003EDr. Neil Weston \u2013 Aerospace Systems Design Laboratory\u003C\/li\u003E\u003C\/ul\u003E","summary":"","format":"limited_html"}],"field_subtitle":"","field_summary":[{"value":"\u003Cp\u003E\u003Cstrong\u003EVIDEC-CFD: A Methodology for Variational Integration of a Discrete Exterior Calculus-Based Computational Fluid Dynamics Formulation\u003C\/strong\u003E\u003C\/p\u003E","format":"limited_html"}],"field_summary_sentence":[{"value":"VIDEC-CFD: A Methodology for Variational Integration of a Discrete Exterior Calculus-Based Computational Fluid Dynamics Formulation"}],"uid":"27707","created_gmt":"2024-10-22 16:19:14","changed_gmt":"2024-10-24 14:21:24","author":"Tatianna Richardson","boilerplate_text":"","field_publication":"","field_article_url":"","field_event_time":{"event_time_start":"2024-10-31T09:30:00-04:00","event_time_end":"2024-10-31T11:00:00-04:00","event_time_end_last":"2024-10-31T11:00:00-04:00","gmt_time_start":"2024-10-31 13:30:00","gmt_time_end":"2024-10-31 15:00:00","gmt_time_end_last":"2024-10-31 15:00:00","rrule":null,"timezone":"America\/New_York"},"location":"Weber SST, CoVE","extras":[],"groups":[{"id":"221981","name":"Graduate Studies"}],"categories":[],"keywords":[{"id":"100811","name":"Phd Defense"}],"core_research_areas":[],"news_room_topics":[],"event_categories":[{"id":"1788","name":"Other\/Miscellaneous"}],"invited_audience":[{"id":"78771","name":"Public"}],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[],"email":[],"slides":[],"orientation":[],"userdata":""}}}