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subject: Mathematics

Total is 299 Results
Generalized Energy-Stable Open Boundary Conditions for Incompressible Flows

10.4231/R7RV0KM6

Suchuan Dong ORCID logo

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 ORCID logo

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 ORCID logo

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

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