SBP

Entropy stable high-order schemes for the compressible Navier--Stokes equations with isothermal no-slip wall boundary conditions

Entropy stable boundary conditions are critical for ensuring that the corresponding numerical scheme satisfies the discrete entropy inequality, thus, mimicking the second law of thermodynamics for the compressible Navier-Stokes equations. Provably …

Entropy stable high-order schemes for the compressible Navier--Stokes equations with isothermal no-slip wall boundary conditions

Entropy stable boundary conditions are critical for ensuring that the corresponding numerical scheme satisfies the discrete entropy inequality, thus, mimicking the second law of thermodynamics for the compressible Navier-Stokes equations. Provably …

A short introduction to summation-by-parts (SBP) for non-linearly stable schemes

Introduction to summation-by-parts operators for non-linearly stable numerical schemes.

The capabilities of summation-by-parts operators for non-linear stability of semi-discrete schemes

Workshop presentation on capabilities of SBP operators for non-linear stability.

The capabilities of summation-by-parts and structure-preserving operators for compressible computational fluid dynamics and reaction-diffusion models

With the algorithm’s suitability for exploiting current petascale and next-generation exascale supercomputers, stable and structure-preserving properties are necessary to develop predictive computational tools. In this dissertation, …

The capabilities of summation-by-parts operators for non-linear stability of semi-discrete schemes

Conference presentation on SBP operators for non-linear stability.

Summation-by-parts and structure preserving operators for nonlinear stability of conservation laws

Workshop presentation on SBP and structure preserving operators.

Recent results on time integration methods for summation-by-parts schemes

Presentation on time integration methods for summation-by-parts schemes.