Sentence examples for Preserve positivity from inspiring English sources

In this paper, we construct both first order and uniformly high order accurate conservative Lagrangian schemes which preserve positivity of physically positive variables such as density and internal energy in the simulation of compressible multi-material flows with general equations of state (EOS).

Since the CPR framework with the WENO limiter does not in general preserve positivity of the solution, we also extend the positivity-preserving limiters in [43,44,42] to the CPR framework.

The key challenge is to preserve positivity of density and symmetric pressure tensor.

In addition to preserve positivity, the scheme also ensures the accuracy of the approximation for smooth solutions.

In contrast to linearised approximations, these methods will (with certain provisos on the signal velocities) enforce the entropy condition and preserve positivity without the need for additional corrections.

We construct uniformly high order accurate discontinuous Galerkin (DG) schemes which preserve positivity of density and pressure for Euler equations of compressible gas dynamics.

The resulting integral is a positive operator since each (A_{t}) is positive and each (Phi_{t}) preserves positivity.

(2.1) Moreover, this map preserves positivity when the multiplier is a positive operator.

In this paper we present a new nonlinear finite volume scheme preserving positivity for diffusion equations.

It is designed so that it preserves positivity of solutions and the local behavior of the dynamical system near equilibria.

Finally we present an alternative approximation to the matrix exponential which preserves positivity, and linear and quadratic stability.