Hybrid Rocket Engine Burnback Simulations Using Implicit Geometry Descriptions
The performance of hybrid rocket engines is significantly influenced by the fuel geometry. Burnback simulations, to determine the fuel surface and fluid volume, are therefore an important tool for preliminary design. This work presents a method for the simulation of spatially constant burn-ups on ar...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-01-01
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| Series: | Aerospace |
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| Online Access: | https://www.mdpi.com/2226-4310/11/2/103 |
| _version_ | 1827344486909345792 |
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| author | Jan Erik Zeriadtke Joël Martin Viola Wartemann |
| author_facet | Jan Erik Zeriadtke Joël Martin Viola Wartemann |
| author_sort | Jan Erik Zeriadtke |
| collection | DOAJ |
| description | The performance of hybrid rocket engines is significantly influenced by the fuel geometry. Burnback simulations, to determine the fuel surface and fluid volume, are therefore an important tool for preliminary design. This work presents a method for the simulation of spatially constant burn-ups on arbitrary geometries. An implicit surface definition by means of a signed distance function is used to represent the fluid volume and the fuel block on tetrahedral meshes. Two methods each are used to determine the fluid volume and the burning surface. The first method is based on a direct integration of the signed distance function with the Heaviside function or the Dirac delta distribution, respectively. The second method linearly interpolates the position of an isosurface and thus reconstructs the fuel surface. Both methods are compared and validated with analytical results of four example geometries. Both calculations of the fluid volume and the calculation of the surface content with the interpolation method are characterized as first-order methods. With practicable mesh resolutions of one million computational cells, errors below two percent can be achieved. With the interpolation method, numerical meshes can also be exported for any time points of the burn. Finally, the application of the program to the fuel geometry of the <span style="font-variant: small-caps;">Viserion</span> hybrid rocket engine is demonstrated. |
| first_indexed | 2024-03-07T22:46:59Z |
| format | Article |
| id | doaj.art-d4b0928189144a549210449e9bcaf16c |
| institution | Directory Open Access Journal |
| issn | 2226-4310 |
| language | English |
| last_indexed | 2024-03-07T22:46:59Z |
| publishDate | 2024-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Aerospace |
| spelling | doaj.art-d4b0928189144a549210449e9bcaf16c2024-02-23T15:03:15ZengMDPI AGAerospace2226-43102024-01-0111210310.3390/aerospace11020103Hybrid Rocket Engine Burnback Simulations Using Implicit Geometry DescriptionsJan Erik Zeriadtke0Joël Martin1Viola Wartemann2German Aerospace Center, Institute of Aerodynamics and Flow Technology, Department Spacecraft, Lilienthalplatz 7, 38108 Braunschweig, GermanyGerman Aerospace Center, Institute of Aerodynamics and Flow Technology, Department Spacecraft, Lilienthalplatz 7, 38108 Braunschweig, GermanyGerman Aerospace Center, Institute of Aerodynamics and Flow Technology, Department Spacecraft, Lilienthalplatz 7, 38108 Braunschweig, GermanyThe performance of hybrid rocket engines is significantly influenced by the fuel geometry. Burnback simulations, to determine the fuel surface and fluid volume, are therefore an important tool for preliminary design. This work presents a method for the simulation of spatially constant burn-ups on arbitrary geometries. An implicit surface definition by means of a signed distance function is used to represent the fluid volume and the fuel block on tetrahedral meshes. Two methods each are used to determine the fluid volume and the burning surface. The first method is based on a direct integration of the signed distance function with the Heaviside function or the Dirac delta distribution, respectively. The second method linearly interpolates the position of an isosurface and thus reconstructs the fuel surface. Both methods are compared and validated with analytical results of four example geometries. Both calculations of the fluid volume and the calculation of the surface content with the interpolation method are characterized as first-order methods. With practicable mesh resolutions of one million computational cells, errors below two percent can be achieved. With the interpolation method, numerical meshes can also be exported for any time points of the burn. Finally, the application of the program to the fuel geometry of the <span style="font-variant: small-caps;">Viserion</span> hybrid rocket engine is demonstrated.https://www.mdpi.com/2226-4310/11/2/103hybrid rocket engineburnback simulationimplicit geometry descriptionsigned distance functionfuel grainnumerical mesh |
| spellingShingle | Jan Erik Zeriadtke Joël Martin Viola Wartemann Hybrid Rocket Engine Burnback Simulations Using Implicit Geometry Descriptions Aerospace hybrid rocket engine burnback simulation implicit geometry description signed distance function fuel grain numerical mesh |
| title | Hybrid Rocket Engine Burnback Simulations Using Implicit Geometry Descriptions |
| title_full | Hybrid Rocket Engine Burnback Simulations Using Implicit Geometry Descriptions |
| title_fullStr | Hybrid Rocket Engine Burnback Simulations Using Implicit Geometry Descriptions |
| title_full_unstemmed | Hybrid Rocket Engine Burnback Simulations Using Implicit Geometry Descriptions |
| title_short | Hybrid Rocket Engine Burnback Simulations Using Implicit Geometry Descriptions |
| title_sort | hybrid rocket engine burnback simulations using implicit geometry descriptions |
| topic | hybrid rocket engine burnback simulation implicit geometry description signed distance function fuel grain numerical mesh |
| url | https://www.mdpi.com/2226-4310/11/2/103 |
| work_keys_str_mv | AT janerikzeriadtke hybridrocketengineburnbacksimulationsusingimplicitgeometrydescriptions AT joelmartin hybridrocketengineburnbacksimulationsusingimplicitgeometrydescriptions AT violawartemann hybridrocketengineburnbacksimulationsusingimplicitgeometrydescriptions |