RESUMO
A complete lattice Boltzmann model (LBM) is proposed for the steady radiative transfer equation (RTE). The RTE can be regarded as a pure convection equation with a source term. To derive the expressions for the equilibrium distribution function and the relaxation time, an artificial isotropic diffusion term is introduced to form a convection-diffusion equation. When the dimensionless relaxation time has a value of 0.5, the lattice Boltzmann equation (LBE) is exactly applicable to the original steady RTE. We also perform a multiscale analysis based on the Chapman-Enskog expansion to recover the macroscopic RTE from the mesoscopic LBE. The D2Q9 model is used to solve the LBE, and the numerical results obtained by the LBM are comparable to the results obtained by other methods or analytical solutions, which demonstrates that the proposed model is highly accurate and stable in simulating multidimensional radiative transfer. In addition, we find that the convergence rate of the LBM depends on the transport properties of RTE: for diffusion-dominated RTE with a large optical thickness, the LBM shows a second-order convergence rate in space, while for convection-dominated RTE with a small optical thickness, a lower convergence rate is observed.
RESUMO
<p><b>OBJECTIVE</b>To compare the short-term curative effect of clozapine (CZ) and its combination with electroacupuncture (EA) in treating schizophrenia.</p><p><b>METHODS</b>Ninety schizophrenia patients were randomly divided into two groups equally: the EA group treated with combination of CZ (200 - 300 mg/d in mean) and EA, and the CZ group treated with CZ alone. The effects of treatment were evaluated with PANSS, CGI and TESS before and at the 2th, 4th, 6th and 8th weekend of the treatment.</p><p><b>RESULTS</b>The initiation of effect in the two groups was the same, the total effective rate was 75% in the EA group and 73% in the CZ group. However, somatic complaint was lower and compliance was higher in the EA group than that in the CZ group respectively.</p><p><b>CONCLUSION</b>With the effect equal to CZ, combination of CZ and EA shows higher compliance in treating schizophrenia, which would be beneficial in the later stage treatment for consolidation.</p>
