A Consistent Analytical Formulation for Volume Estimation of Geometries Enclosed by Implicitly Defined Surfaces
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Publication:5745134
DOI10.1137/17M1126370zbMath1391.65048arXiv1704.05355OpenAlexW3099322794MaRDI QIDQ5745134
Xiangyu Hu, Nikolaus A. Adams, Shucheng Pan
Publication date: 5 June 2018
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.05355
Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical integration (65D30)
Related Items (3)
An accelerated conservative sharp-interface method for multiphase flows simulations ⋮ High-order quadrature on multi-component domains implicitly defined by multivariate polynomials ⋮ A conservative interface-interaction method for compressible multi-material flows
Cites Work
- Numerical integration over implicitly defined domains for higher order unfitted finite element methods
- Adaptive multi-resolution method for compressible multi-phase flows with sharp interface model and pyramid data structure
- An interface reconstruction method based on analytical formulae for 2D planar and axisymmetric arbitrary convex cells
- Scale separation for multi-scale modeling of free-surface and two-phase flows with the conservative sharp interface method
- An efficient block parallel AMR method for two phase interfacial flow simulations
- Anti-diffusion method for interface steepening in two-phase incompressible flow
- A conservative sharp interface method for incompressible multiphase flows
- A conservative interface method for compressible flows
- Robust second-order accurate discretizations of the multi-dimensional Heaviside and Dirac delta functions
- A second order accurate level set method on non-graded adaptive Cartesian grids
- An adaptive level set approach for incompressible two-phase flows
- Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows
- A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows
- Analytical relations connecting linear interfaces and volume fractions in rectangular grids
- Multi-dimensional quadrature of singular and discontinuous functions
- A level set method for structural topology optimization.
- A variational level set approach to multiphase motion
- Numerical modelling and investigation of symmetric and asymmetric cavitation bubble dynamics
- An adaptive Cartesian cut-cell/level-set method to simulate incompressible two-phase flows with embedded moving solid boundaries
- An interface reconstruction method based on an analytical formula for 3D arbitrary convex cells
- Geometric integration over irregular domains with application to level-set methods
- Efficient implementation of THINC scheme: a simple and practical smoothed VOF algorithm
- Simple multidimensional integration of discontinuous functions with application to level set methods
- Highly accurate surface and volume integration on implicit domains by means of moment-fitting
- Higher-order accurate integration of implicit geometries
- The Middle-Cut Triangulations of the n-Cube
- A mass‐conserving Level‐Set method for modelling of multi‐phase flows
- High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles
- A Level Set Method for Image Segmentation in the Presence of Intensity Inhomogeneities With Application to MRI
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