The Riemann solver is proved to be positively conservative for the density variable; the positivity of the pressure variable has been demonstrated for Euler flows when the divergence in the fluid velocities is suitably restricted so as to prevent the formation of cavitation in the flow.
Now we establish the persistence and permanence behavior of the delayed model using the positivity of the dependent variables.
Results from the numerical simulations show that the new procedure exhibits very good convergence characteristics, is extremely robust, and always preserves the positivity of the turbulence variables.
An appropriate design of the M-matrix guarantees the positivity of the turbulence equation dependent variables for any time step, without the use of any clipping.
The proposed stabilizing control laws are required to preserve the positivity of the system, that is the state variable take nonnegative values whenever the initial state is nonnegative.
Our main focus is the design and implementation of an explicit Runge Kutta discontinuous Galerkin method which, under a more restrictive CFL condition, guarantees the realizability of the moment variables and the positivity of the material temperature.
and this fact assures the positivity of the eigenvalues of.
Using again the positivity of the terms, we get (1.6).
The methods are designed such that several key properties such as the positivity of the viscosity solution and the positivity of the effective Hamiltonian are preserved.
"But I'm pleased with the positivity of the boys.
