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The other problem with two-fluid models is the effect of ill-posedness which may cause numerical instability.
The non-uniform distributions of surface temperature indicate that using a constant temperature or heat flux as boundary conditions may cause numerical errors.
Due to the approximation accuracy, momentum conservation and governing equation feasibility, traditional Particle Method, Moving Particle Semi-implicit (MPS) method in this paper, cannot guarantee the accuracy and stability of computation, and the divergence calculation in Navier Stokes equation may cause numerical error in computation domain with discontinuity.
This may cause numerical instabilities in the computation.
Noise and perturbation in data may cause numerical instability in this method.
Working with the inverse of Σ may cause numerical problems at low mobility, where Σ is near-singular.
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Through this formulation, it is found that imperfect collocation of piezoelectric sensor/actuator pairs is not sufficient for dynamic stability in general and that ignoring the in-plane displacements of the midplane of the composite plate with imperfectly collocated piezoelectric sensor/actuator pairs may cause significant numerical errors, leading to incorrect stability conclusions.
When power function models are used to fit available experimental data, correlations among obtained parameter estimates are normally very high, which may cause significant numerical problems during the estimation of the model parameters and lead to misinterpretation of the statistical significance of final results.
We point out that a strange beating phenomenon may cause quite large numerical errors close to resonance.
Numerically it is found that the resolution of the induction zone is particularly critical to the combustion problems, and an under-resolved numerical method may cause excessive energy release and spurious runaway reactions.
It is worth noticing that when the numerical trace corresponds to a discrete representation of a continuous process, the discrete time semantics that we use may cause that particular events are 'missed' independently of the numerical errors that can be made by the numerical integration method.
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