Parallelization of a finite volumes discretization for anisotropic diffusion problems using an improved Schur complement technique

Belhadj, Hassan; Khallouq, Samir; Rhoudaf, M.

doi:10.3934/dcdss.2020260

Cited by 2 publications

(1 citation statement)

References 15 publications

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“…The resulting sample is then tested in place of the standard to obtain the device IPCE curve. The phase-locked amplification technique reduces phase and frequency noise during the IPCE test, resulting in high accuracy and precise results [7][8].…”

Section: External Quantum Efficiency (Ipce) Testingmentioning

confidence: 99%

Optimization of Solar Cells Based on Finite Volume Method

2021

KME

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The interpenetrating network structure between the donor and acceptor materials of a polymeric intrinsic heterojunction photovoltaic cell is formed by nano-scale phase separation, which provides an effective transport channel for exciton diffusion. The aim of this paper is to investigate the performance study and optimization of solar cells based on the finite volume method. This paper investigates the interface and structure/performance optimisation of organic solar cells with the aim of revealing the mechanism of device performance enhancement. Anode modification of organic solar cells based on copper-titanocyanine: fullerene (CuPc: C60) system. To investigate the effect of anode modification on device performance, we introduced CuPc, MoO3, HPCzI and MoO3-doped HPCzI as the anode modification layers of the devices by vacuum vapour deposition. The HPCzI was designed and synthesised in our laboratory and was used as the anode modification for OPV devices for the first time in previous studies. The results show that the device efficiency is maximised when the HPCzI layer doped with 25% MoO3 is used as the anode modification layer. Energy level analysis shows that HPCzI has a better energy level match with ITO, which can improve the hole extraction efficiency. A study of charge transport performance reveals that the doping of HPCzI with MoO3 significantly improves the hole transport capability, which further explains the improved device performance. Active layer modification of organic solar cells based on poly-3-alkylthiophene: fullerene derivatives (P3HT: PC60BM) system. We have prepared p (P3HT) and n (PCBM) modified OPV devices by electrostatic spraying and optimised the p and n layer thicknesses. The results show that the p-modified devices as well as the p-and n-modified devices are more efficient than the devices without any modification. By analysing the charge transport performance of the corresponding single-carrier devices, both p-and n-modified active layers result in increased hole mobility and thus improved device performance. In this paper, the flux difference splitting format (FVM-FDS) based on the finite volume method is combined with the higher-order multistate Riemann solvers (HLL and HLLC), the high-precision reconstruction format (2nd order MUSCL and 5th order WENO) and the total variation-decreasing lunger-Kutta format (TVD-RK) for the 1D ideal MHD problem

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Section: External Quantum Efficiency (Ipce) Testingmentioning

confidence: 99%

Optimization of Solar Cells Based on Finite Volume Method

2021

KME

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DDFV scheme for nonlinear parabolic reaction-diffusion problems on general meshes

Bazirha,

Azrar

2024

Math. Model. Comput.

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This paper focuses on the nonlinear anisotropic parabolic model of the form ∂tC(u)−div(Λ∇u)+R(u)=f, where C, R, f, and Λ are respectively: two nonlinear functions, a source term and an anisotropic tensor diffusion. For space discretization, various types of the Discrete Duality Finite Volume (DDFV) scheme are elaborated leading to positive definite stiffness matrices for the diffusion term. A general mesh is used and hard anisotropic tensor with discontinuous effects is considered. An implicit time scheme is developed as well as the Newton–Raphson method to solve the resulting nonlinear system. An iterative incremental approach is elaborated handling the effects of anisotropy, discontinuity and non-linearity. The performance of the presented direct and indirect DDFV schemes for different meshes has been demonstrated by various numerical tests. A super-convergence in the discrete L2 and H1-norms is also demonstrated.

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Parallelization of a finite volumes discretization for anisotropic diffusion problems using an improved Schur complement technique

Cited by 2 publications

References 15 publications

Optimization of Solar Cells Based on Finite Volume Method

Optimization of Solar Cells Based on Finite Volume Method

DDFV scheme for nonlinear parabolic reaction-diffusion problems on general meshes

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