A surface finite element method for the Navier-Stokes equations on evolving surfaces
We introduce a surface finite element method for the numerical solution of Navier-Stokes equations on evolving surfaces with a prescribed deformation of the surface in normal direction. The method is based on approaches for the full surface Navier-Stokes equations in the context of fluid-deformable...
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| creator | Krause, Veit Kunze, Eric Voigt, Axel |
| description | We introduce a surface finite element method for the numerical solution of
Navier-Stokes equations on evolving surfaces with a prescribed deformation of
the surface in normal direction. The method is based on approaches for the full
surface Navier-Stokes equations in the context of fluid-deformable surfaces and
adds a penalization of the normal component. Numerical results demonstrate the
same optimal order as proposed for surface (Navier-)Stokes equations on
stationary surfaces. The approach is applied to high-resolution 3D scans of
clothed bodies in motion to provide interactive virtual fluid-like clothing. |
| doi_str_mv | 10.48550/arxiv.2306.08917 |
| format | Article |
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Navier-Stokes equations on evolving surfaces with a prescribed deformation of
the surface in normal direction. The method is based on approaches for the full
surface Navier-Stokes equations in the context of fluid-deformable surfaces and
adds a penalization of the normal component. Numerical results demonstrate the
same optimal order as proposed for surface (Navier-)Stokes equations on
stationary surfaces. The approach is applied to high-resolution 3D scans of
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Navier-Stokes equations on evolving surfaces with a prescribed deformation of
the surface in normal direction. The method is based on approaches for the full
surface Navier-Stokes equations in the context of fluid-deformable surfaces and
adds a penalization of the normal component. Numerical results demonstrate the
same optimal order as proposed for surface (Navier-)Stokes equations on
stationary surfaces. The approach is applied to high-resolution 3D scans of
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Navier-Stokes equations on evolving surfaces with a prescribed deformation of
the surface in normal direction. The method is based on approaches for the full
surface Navier-Stokes equations in the context of fluid-deformable surfaces and
adds a penalization of the normal component. Numerical results demonstrate the
same optimal order as proposed for surface (Navier-)Stokes equations on
stationary surfaces. The approach is applied to high-resolution 3D scans of
clothed bodies in motion to provide interactive virtual fluid-like clothing.</abstract><doi>10.48550/arxiv.2306.08917</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Computer Science - Numerical Analysis Mathematics - Mathematical Physics Mathematics - Numerical Analysis Physics - Mathematical Physics |
| title | A surface finite element method for the Navier-Stokes equations on evolving surfaces |
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