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Comparative Vortex Extraction and Visualization – using topological methods
Linköping University, Department of Science and Technology.
2026 (English)Student thesis
Abstract [en]

Large-scale fluid flow simulations yield multiple coupled scalar and vector fields (e.g., pressure, density, and velocity) together with derived topological structures, making exploratory vortex analysis difficult when raw fields are inspected in isolation. This thesis proposes a multifield visualization workflow for vortex analysis that centers on pressure-derived extremum graphs, whose valley lines are treated as candidates for vortex corelines. The approach is implemented in Inviwo as a coordinated pipeline and combines direct volume rendering (DVR) of the pressure field for scalar context, velocity-field depiction via line integral convolution and tube-based streamlines, and mesh-based rendering of the extremum graph with critical points shown as spheres and valley lines shown as tubes; a custom Inviwo importer was developed to load the extremum-graph format. The DVR transfer function uses multiple narrow opacity peaks placed across the low-pressure range: peak placement resolves the fragmentation-vs.\ occlusion trade-off, while keeping each peak narrow preserves surface-like sharpness and limits accumulated ray opacity. Streamline seeding draws from the critical points of the extremum graph, with 1-saddle seeding emerging as the primary tuned reference for this dataset; a pressure-range filter, a choice between uniform exploratory thinning and histogram-guided thinning, and a randomised off-axis displacement keep streamtubes legible near the interaction region. To complement qualitative structure with quantitative cues, sampled pressure is encoded through an inverse monotonic pressure-to-radius mapping on the graph mesh, with linear and exponential variants compared. The coordinated multifield views support joint interpretation of low-pressure regions, flow orientation, and valley-line geometry, making the transition from two initially parallel low-pressure structures toward the developing horseshoe-like configuration visually interpretable across time, without pinning down an exact reconnection timestamp.

Abstract [sv]

Storskaliga flödessimuleringar ger flera kopplade skalära och vektorfält (t.ex. tryck, densitet och hastighet) tillsammans med härledda topologiska strukturer, vilket gör explorativ virvelanalys svår när råa fält inspekteras isolerat. Denna avhandling föreslår en visualiseringsstrategi för virvelanalys med flera fält som centrerar sig kring tryckhärledda extremgrafer, vars åsar behandlas som kandidater för virvelkärnor. Metoden implementeras i Inviwo och kombinerar direkt volymrendering av tryckfältet för skalär kontext, hastighetsfältavbildning via linjeintegralfaltning och rörbaserade strömlinjer, och nätbaserad rendering av extremgrafen med kritiska punkter visade som sfärer och åsar visade som rör. För att komplettera kvalitativ struktur med kvantitativa signaler kodas samplade tryckvärden genom en invers monoton tryck-till-radie-mappning på sfärer och rör, och linjära och exponentiella mappningar jämförs. Resultaten visar att placering av överföringsfunktionstoppar och dämpning av högtrycksbidrag minskar ocklusion och förbättrar synligheten av hästskovirvelstrukturen. Koordinerade flerfältsvyer stöder gemensam tolkning av lågtrycksområden, flödesorientering och åsgeometri, medan parameterstudier klargör hur radieskalning, tryckområdesfiltrering och slumpmässig gallring påverkar läsbarheten.

Place, publisher, year, edition, pages
2026. , p. 68
Keywords [en]
scientific visualization, vortex visualization, topological methods, extremum graphs, multifield visualization, pressure field, direct volume rendering, streamlines, horseshoe vortex, scalar field comparison
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-224172ISRN: LiU-ITN-TEK-A--26/008--SEOAI: oai:DiVA.org:liu-224172DiVA, id: diva2:2061454
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Available from: 2026-05-21 Created: 2026-05-21 Last updated: 2026-05-21Bibliographically approved

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