PURR Registry

32-digit values of the first 100 recurrence coefficients for the Fermi-Dirac weight function

10.4231/R7HQ3WW3

11/29/2016

32-digit values of the first 100 recurrence coefficients for the weight function w(x)=[1/(exp(x)+1)]^r on [0,Inf], r=1

Computer Science Equation Table Fermi Dirac weight Function Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives

Efficient Algorithm for Incompressible N-Phase Flows

10.4231/R7ZP441V

Suchuan Dong

12/19/2014

Efficient Algorithm for Incompressible N-Phase Flows

Mathematics multiphase flows N-phase flow phase field Physics spectral element surface tension

Generalized Energy-Stable Open Boundary Conditions for Incompressible Flows

10.4231/R7RV0KM6

Suchuan Dong

04/16/2015

We present a family of energy-stable open boundary conditions and an associated numerical algorithm for incompressible flow simulations. These open boundary conditions all ensure the energy stability of the system.

backflow instability energy stability energy-stable boundary conditions Mathematics Navier-Stokes open boundary condition outflow outflow boundary condition Physics spectral element method unbounded domain velocity correction

Incompressible Multiphase Flows: Physical Formulation and Numerical Algorithm

10.4231/R7J9649P

Suchuan Dong

04/07/2015

We present a family of thermodynamically consistent physical formulation and efficient numerical algorithm for simulating the mixture of N (N >= 2) immiscible incompressible fluids with given densities, dynamic viscosities and...

applied mathematics computational physics general order parameters Mathematics multiphase flows N-phase flow pairwise surface tension phase field Physics spectral element surface tension

OPCBSPL: Orthogonal polynomials relative to cardinal B-spline weight functions

10.4231/R7NG4NKC

Walter Gautschi

10/28/2016

A stable and efficient discretization procedure is developed to compute recurrence coefficients for orthogonal polynomials whose weight function is a polynomial cardinal B-spline of order greater than, or equal to, one.

B-spline Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials polynomials Walter Gautschi Archives weight functions

32-digit values of the first 100 recurrence coefficients for an Airy weight function

10.4231/R7V122R6

Walter Gautschi

10/19/2016

32-digit values of the first 100 recurrence coefficients for the (normalized) weight function w(x)=c*x^(-5/6)e^(-x)Ai((3x/2)^(2/3)) on [0,Inf], c=2^(-1/6)*3^(1/6)/pi^(1/2), where Ai is the Airy function

Airy weight function Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Quadrature and cubature formulas Walter Gautschi Archives

Data Set: A Rotational Pressure-Correction Scheme for Incompressible Two-Phase Flows with Open Boundaries

10.4231/R7K35RM1

Suchuan Dong

04/21/2016

Data files for the paper "S. Dong & X. Wang, A Rotational Pressure-Correction Scheme for Incompressible Two-Phase Flows with Open Boundaries, PLOS One, Accepted, 2016"

Mathematics multiphase flow OBC open boundary condition outflow boundary condition outflows Physics pressure correction spectral element spectral element method two-phase flow two-phase open boundary two-phase outflow

Data Set: A Rotational Pressure-Correction Scheme for Incompressible Two-Phase Flows with Open Boundaries

10.4231/R7FB50WP

Suchuan Dong

04/25/2016

Data files for the paper "S. Dong & X. Wang, A Rotational Pressure-Correction Scheme for Incompressible Two-Phase Flows with Open Boundaries, PLOS One, Accepted, 2016"

Mathematics multiphase flow OBC open boundary condition outflow boundary condition outflows Physics pressure correction spectral element spectral element method two-phase flow two-phase open boundary two-phase outflow