Highly accurate Lagrangian flux calculation via algebraic quadratures on spline-approximated donating regions
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Publication:2450012
DOI10.1016/j.cma.2013.05.024zbMath1286.65140OpenAlexW2055423075MaRDI QIDQ2450012
Publication date: 13 May 2014
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2013.05.024
Numerical computation using splines (65D07) Numerical integration (65D30) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)
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GePUP: generic projection and unconstrained PPE for fourth-order solutions of the incompressible Navier-Stokes equations with no-slip boundary conditions ⋮ Lagrangian Transport through Surfaces in Compressible Flows ⋮ On generalized donating regions: classifying Lagrangian fluxing particles through a fixed curve in the plane ⋮ Explicit Gaussian quadrature rules for \(C^1\) cubic splines with symmetrically stretched knot sequences ⋮ Lagrangian Transport Through Surfaces in Volume-Preserving Flows ⋮ MARS: An Analytic Framework of Interface Tracking via Mapping and Adjusting Regular Semialgebraic Sets ⋮ Cellwise conservative unsplit advection for the volume of fluid method ⋮ Lagrangian Flux Calculation Through a Fixed Planar Curve for Scalar Conservation Laws
Uses Software
Cites Work
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- A positivity-preserving high-order semi-Lagrangian discontinuous Galerkin scheme for the Vlasov-Poisson equations
- An algebraic cubature formula on curvilinear polygons
- High order approximation method for curves
- Numerical integration over polygons using an eight-node quadrilateral spline finite element
- A wavelet-MRA-based adaptive semi-Lagrangian method for the relativistic Vlasov-Maxwell system
- MATLAB program for quadrature in 2D
- Handling solid-fluid interfaces for viscous flows: explicit jump approximation vs. ghost cell approaches
- Product Gauss cubature over polygons based on Green's integration formula
- HyPAM: A hybrid continuum-particle model for incompressible free-surface flows
- On the approximation of plane curves by parametric cubic splines
- High accuracy geometric Hermite interpolation
- High order embedded Runge-Kutta formulae
- The not-a-knot piecewise interpolatory cubic polynomial
- An encyclopaedia of cubature formulas.
- Integration of polynomials over linear polyhedra in Euclidean three-dimensional space
- Orthogonal polynomials (in Matlab)
- A second-order projection method for the incompressible Navier-Stokes equations
- Spline approximation by quasiinterpolants
- A comparison of the \(E(3)\) and not-a-knot cubic splines
- Analytical solution of a spatially variable coefficient advection-diffusion equation in up to three dimensions
- Boundary integration of polynomials over an arbitrary linear tetrahedron in Euclidean three-dimensional space
- Gauss-Green cubature and moment computation over arbitrary geometries
- A new interface tracking method: the polygonal area mapping method
- On Polya frequency functions. IV: The fundamental spline functions and their limits
- On calculating with B-splines
- On orders of approximation of plane curves by parametric cubic splines
- On Donating Regions: Lagrangian Flux through a Fixed Curve
- On a Family of Unsplit Advection Algorithms for Volume-of-Fluid Methods
- A Fourth-Order Accurate Finite-Volume Method with Structured Adaptive Mesh Refinement for Solving the Advection-Diffusion Equation
- Solving Ordinary Differential Equations I
- Numerical Methods for Fluid Dynamics
- On geometric interpolation by planar parametric polynomial curves
- Exact formulae for areas, volumes and moments of polygons and polyhedra
- Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
- On the Influence of Parametrization in Parametric Interpolation
- A special family of Runge-Kutta methods for solving stiff differential equations
- Explicit Runge–Kutta Methods with Estimates of the Local Truncation Error
- A comparison of integration and interpolation Eulerian‐Lagrangian methods
- Clenshaw–Curtis and Gauss–Legendre Quadrature for Certain Boundary Element Integrals
- A Fully Mass and Volume Conserving Implementation of a Characteristic Method for Transport Problems
- Is Gauss Quadrature Better than Clenshaw–Curtis?
- Algorithm 824
- The Numerical Evaluation of B-Splines
- Interpolatory quadrature formulae with Chebyshev abscissae
- A practical guide to splines.
