52 research outputs found
κ³ ν¨μ¨ λ³λ ¬ μ€νμ λͺ©νλ‘ ν Drift-flux λͺ¨λΈ κΈ°λ° λ΄λ¨μ μ λ Έμ¬ μ΄μλ ₯ ν΄μμ½λ κ°λ°
νμλ
Όλ¬Έ (μμ¬)-- μμΈλνκ΅ λνμ : μλμ§μμ€ν
곡νλΆ, 2016. 8. μ£Όνκ·.In order to improve the parallel computation efficiency of neutronics/thermal-hydraulics (T/H) coupled reactor core calculations, a core T/H analysis code ESCOT, that can handle pinwise flow channels in the whole core calculation, is developed based on the drift-flux model and a SIMPLE-like numerical solution scheme. The governing equations are formulated and discretized from a three-dimensional 4-equation model to derive the pressure equation coupled with the equations of scalar variables.
The initial verification and validation are performed for single-phase flow conditions to assure the accuracy of the code. The calculated results are comparing with the analytic solutions, experiments, and the results of other codes such as CUPID, CTF and MATRA. The selected problems deal with the following phenomena: pressure drop by gravity acceleration and spacer grids, turbulent mixing, crossflow by friction-flow-split and asymmetric flow inlet, reverse flow by recirculation, and simplified main steam line break (MSLB) accident. It turns out that ESCOT is about 3 times faster than CTF while retaining comparable accuracy.
In order to establish an effective linear solver for the pressure equation on parallel computing platforms, the efficiency of various linear solvers is examined. The selected linear solvers are a direct solver, SuperLU, and two Krylov subspace algorithms, GMRES and BiCGSTAB. The BILU3D preconditioner is applied to accelerate the Krylov subspace algorithms, and the Krylov subspace calculation modules are parallelized with OpenMP. The incomplete domain decomposition is applied to forward and backward substitutions to solve the preconditioner equation in parallel. Parallel performance tests are carried out with sample problems, and it is shown that the unpreconditioned BiCGSTAB yields the best performance in terms of computing time and speedup.Chapter 1. Introduction 1
1.1. Background 1
1.2. Purpose and Scope 2
1.3. Outline of the Thesis 3
Chapter 2. Formulation of Numerical Solution Scheme for Drift-flux Model 5
2.1. Drift-flux Model 5
2.2. Field Equations 9
2.3. Constitutive Relations 11
2.4. Discretization 17
2.5. Numerical Solution Method 26
Chapter 3. Development and Validation of the Ξ±-version Code 36
3.1. Description of the developed code 36
3.2. Verification 39
3.3. Validation 49
Chapter 4. Investigation of Efficient Solvers for Linear System Involving Pressure Correction Matrix 70
4.1. Problems on Solving Pressure Correction Matrix 70
4.2. Introduction of Krylov Subspace Method 73
4.3. Performance of the Krylov Subspace Method 86
Chapter 5. Parallelization 92
5.1. Incomplete Domain Decomposition Preconditioning 93
5.2. Efficiency of the Parallelization 94
Chapter 6. Summary and Conclusions 101
Nomenclature 103
REFERENCE 105
μ΄λ‘ 110Maste
λκ·λͺ¨ λ³λ ¬ μ€νμ΄ κ°λ₯ν ν΅νΉμ± μ°κ³ μμΈ λ Έμ¬ μ΄μλ ₯ ν΄μ μ²΄κ³ κ°λ° λ° μ΅μ ν
νμλ
Όλ¬Έ(λ°μ¬)--μμΈλνκ΅ λνμ :곡과λν μλμ§μμ€ν
곡νλΆ,2020. 2. μ£Όνκ·.A pin-level reactor core thermal-hydraulics (T/H) code capable of massively parallel execution is developed and coupled optimally with direct whole core neutronics calculation (DWCC) codes for high-fidelity reactor simulation. The code named ESCOT adopts the four-equation drift-flux model for two-phase calculations, and the numerical solutions are obtained by applying the Finite Volume Method (FVM) and the Semi-Implicit Method for Pressure Linked Equation (SIMPLE)-like algorithm. The constitutive models involving turbulent mixing, pressure drop, and vapor generation are employed to simulate key phenomena in subchannel-scale analyses. The ESCOT solutions are validated through the applications to various experiments to demonstrate good agreements with the measured data in the extent comparable to those of other subchannel-scale codes: COBRA-TF, MATRA and/or CUPID. ESCOT is parallelized by a versatile domain decomposition scheme that involves both radial and axial decompositions to enable highly parallelized execution. Through the parallel performance test, it turns out that a steady-state solution for the OPR1000 full core can be obtained in about one minute with 177 processors resulting in the parallel efficiency of 60%, and it is about 1.7 times faster than the two-fluid model subchannel code COBRA-TF.
An efficient optimized coupling scheme is established after systematically examining the Gauss-Seidel (G-S) type Fixed-Point Iteration (FPI) scheme and the Jacobi type FPI in resolving the nonlinear mutual dependence of the neutronics and T/H solutions. For this examination, numerous T/H feedback calculations with a 1-D simplified coupled system are carried out in order to understand the convergence characteristics of the neutronics β T/H coupled calculations. From this investigation, it is figured out that the number of fixed-point iterations increases when the feedback effect becomes stronger no matter it is positive or negative. Moreover, the number of Jacobi type FPIs is about 1.7 times more than that of the G-S type FPI so that the computational benefit of the Jacobi scheme that allows the simultaneous solution of the neutronics and T/H problems in parallel execution becomes negligible in most cases. It also turns out that using the xenon equilibrium model can cause numerical instability due to its strong negative reactivity feedback. In addition, it is demonstrated that the Anderson acceleration (AA) can improve significantly the convergence behaviors of the FPI, compared to the conventional relaxation scheme.
ESCOT is coupled in an optimized way with two DWCC codes: the nTRACER code of Seoul National University and the nTER code of Korea Atomic Energy Research Institute. The coupled codes are applied to solve the realistic core problems including the VERA problem 7 and the OPR1000 cores. It is demonstrated that ESCOT takes less than 10% computational burden over the core-level calculations with G-S type coupled systems. It is concluded that the G-S scheme with AA is the most efficiently optimized method for pin-level neutronics-T/H coupled systems.κ³ μ λ° λ
Έμ¬ ν΄μμ μν΄ λκ·λͺ¨ λ³λ ¬κ³μ°μ΄ κ°λ₯ν λ΄λ¨μ λ
Έμ¬ μ΄μλ ₯ ν΄μ μ½λλ₯Ό κ°λ°νκ³ μ§μ μ λ
Έμ¬ μμ‘ν΄μμ½λμ μ°κ³ ν μ΅μ νλ₯Ό μ€μνμλ€. μλ‘κ² κ°λ°ν λ
Έμ¬ μ΄μλ ₯ν΄μμ½λμΈ ESCOTλ μ΄μμ λ λͺ¨λΈλ‘ four-equation drift-flux λͺ¨λΈμ μ¬μ©νλ©°, μ νμ°¨λΆλ² λ° SIMPLE μκ³ λ¦¬μ¦μ μ¬μ©νμ¬ μμΉν΄λ₯Ό κ³μ°νλ€. λΆμλ‘ μ€μΌμΌμ μ£Όμ 물리νμμ λͺ¨μνκΈ° μνμ¬ λλ₯νΌν©, μλ ₯κ°ν, κΈ°ν¬μμ±κ³Ό κ°μ μκ΄ λͺ¨λΈμ μ μ©νμλ€. λ΄λ€λ° ꡬ쑰μμμ λ¨μ λ° μ΄μμ λ μ€νκ²°κ³Ό λ° COBRA-TF, MATRA, CUPIDμ κ°μ λ€λ₯Έ λΆμλ‘ μ½λλ€μ κ³μ°κ²°κ³Όλ€κ³Ό λΉκ΅νμ¬ ESCOT κ³μ°κ²°κ³Όμ μ ν¨μ±μ μ
μ¦νμλ€. MPI κΈ°λ°μ λκ·λͺ¨ λ³λ ¬κ³μ°λ₯μ μνμ¬, λ°κ²½ λ° μΆλ°©ν₯μ μμλΆν λ²μ λμ
νμλ€. ESCOTμ λ³λ ¬ μ±λ₯νκ°λ₯Ό μ€μνμμΌλ©°, κ·Έ κ²°κ³Ό ESCOTκ° 177κ° νλ‘μΈμλ₯Ό μ¬μ©νμ¬ 60%μ λ³λ ¬ν¨μ¨λ‘ OPR1000 μ λ
Έμ¬μ μ½ 1λΆ μμ ν΄μνμκ³ , two-fluid λͺ¨λΈμ μ¬μ©νλ COBRA-TFμ λΉκ΅νμμ λλ μ½ 1.7λ°° μ μ κ³μ°μκ°μ 보μλ€.
λ€μμΌλ‘λ λ
Έμ¬κ³Ό μ΄μλ ₯ κ°μ μνΈ μμ‘΄μ±μ ν΄κ²°νκΈ° μν΄ μ¬μ©λλ Gauss-Seidel λ° Jacobi νμ
μ κ³ μ μ λ°λ³΅λ² (Fixed-Point Iteration)μ μλ ΄κ±°λμ 체κ³μ μΌλ‘ λΆμν ν μ΄λ₯Ό κΈ°λ°μΌλ‘ λ
Έμ¬-μ΄μλ ₯ μ°κ³ κ³μ°μ ν¨μ¨μ± μ¦μ§μ μν μ΅μ ν μ λ΅μ ꡬμΆνμλ€. μΌμ°¨μμ λ¨μνλ λ
Έμ¬-μ΄μλ ₯ μ°κ³ μμ€ν
μ μ¬μ©νμ¬ λ€μν κΆ€ν쑰건μμμ μ°κ³ κ³μ° μλ ΄ κ±°λμ λΆμνμμΌλ©°, μ΄μ λ€μκ³Ό κ°μ κ²°κ³Όλ₯Ό νμΈνμλ€. 첫째λ‘, κΆ€νν¨κ³Όμ λΆνΈμ μκ΄μμ΄ ν¬κΈ°κ° ν΄μλ‘ κ³ μ μ λ°λ³΅νμκ° μ¦κ°νλ€. λμ§Έλ‘, Jacobi νμ
μ κ³ μ μ λ°λ³΅μ λλΆλΆμ κ²½μ° Gauss-Seidel νμ
μ κ³ μ μ λ°λ³΅λ³΄λ€ μ½ 1.7λ°°μ λ λ§μ λ°λ³΅νμλ₯Ό μꡬνλ©°, μ΄λ Jacobi νμ
μ μ₯μ μΈ λ³λ ¬μ±μ μ½νμν¬ μ μλ€. μ
μ§Έλ‘, μ λ
Ό ννλͺ¨λΈμ μ¬μ©νκ² λλ©΄ μ λ
Όμ μν΄ λ°μνλ μμ λ°μλλ‘ μΈν΄ Gauss-Seidel κ³ μ μ λ°λ³΅λ²μμ λΆμμ ν μμΉκ±°λμ΄ λ°μν μ μλ€. λ§μ§λ§μΌλ‘, κΈ°μ‘΄μ μ¬μ©νλ μνκΈ°λ² (relaxation scheme)κ³Ό λΉκ΅νμμ λ, Anderson κ°μλ²μ κ³ μ μ λ°λ³΅λ²μ μλ ΄μ± λ§€μ° ν¨κ³Όμ μΌλ‘ κ°μ μν¬ μ μλ€.
μ΅μ’
μ μΌλ‘ μμΈλνκ΅μμ κ°λ°ν nTRACERμ νκ΅μμλ ₯μ°κ΅¬μμμ κ°λ°ν nTER, μκΈ° λ κ°μ μ λ
Έμ¬ μμ‘ν΄μμ½λμ ESCOTμ λ΄λ¨μ μ°κ³λ₯μ ꡬμΆνκ³ κ³ μ λ° λ
Έμ¬-μ΄μλ ₯ μ°κ³ν΄μμ μννμλ€. VERA problem 7κ³Ό OPR1000μ λ
Έμ¬κ³μ°μ μ€μνμμΌλ©°, ESCOTκ° Gauss-Seidel κ³ μ μ λ°λ³΅λ²μμ μ 체 κ³μ° λλΉ μ½ 10%μ λμ μ μ μ μ°λΆλ΄λμ 보μμ νμΈνμλ€. λ€μν μ°κ³ κ³μ°λ²λ€μ μ±λ₯μ λΉκ΅ν κ²°κ³Ό, Anderson κ°μλ²μ μ μ©ν Gauss-Seidel κ³ μ μ λ°λ³΅λ²μ΄ λ΄λ¨μ λ
Έμ¬-μ΄μλ ₯ μ°κ³ 체κ³μμ κ°μ₯ μ΅μ νλ λ°©λ²μμ νμΈνμλ€.Chapter 1. Introduction 14
1.1. Purpose and Scope of the Research 17
1.2. Outline of the Thesis 20
Chapter 2. Development of Pinwise Core Thermal-Hydraulics Code 21
2.1. Field Equations of Four-Equation Drift-flux Model 21
2.1.1. Definition of mixture properties 21
2.1.2. Mixture mass conservation equation 22
2.1.3. Vapor mass conservation equation 22
2.1.4. Mixture momentum conservation equation 23
2.1.5. Mixture energy conservation equation 23
2.2. Constitutive Relations for Subchannel-scale Analysis 24
2.2.1. Equation of state 24
2.2.2. Drift-flux parameters 25
2.2.3. Pressure drop model 26
2.2.4. Turbulent mixing model 28
2.2.5. Vapor generation model with flow regime map 31
2.3. Numerical Solution Method 33
2.3.1. Discretization 33
2.3.2. Derivation of the pressure correction equation and solution algorithm with SIMPLE 35
2.4. Verification and Validation 41
2.4.1. Verification: Pressure drop by gravity 41
2.4.2. Verification: Single-phase friction flow split 42
2.4.3. Verification: Single-phase two-channel turbulent mixing 44
2.4.4. Validation of single-phase flow: CNEN 4x4 47
2.4.5. Validation of single-phase flow: Weiss two 14x14 assembly test 50
2.4.6. Validation of single-phase flow: PNNL 2x6 54
2.4.7. Validation of two-phase flow: RPI 2x2 air-water test 58
2.4.8. Validation of two-phase flow: PSBT Phase I, Exercise 2 61
2.5. Radial and Axial Domain Decomposition for Massive Parallel Execution 64
2.5.1. Implementation of radial and axial domain decomposition 64
2.5.2. Verification of ESCOT parallelization 70
2.6. Parallel Performance Examination 75
2.6.1. N-by-N assembly problems for scalability testing 75
2.6.2. Performance of linear solvers for a pressure equation 86
2.6.3. OPR1000 core problems 90
Chapter 3. Optimization of Neutronics/Thermal-Hydraulics Coupled Calculation 95
3.1. Numerical Methods to Solve Nonlinearity of Neutronics and T-H 95
3.1.1. Fixed-Point Iteration 95
3.1.2. Anderson Acceleration 99
3.2. 1-D Simplified Neutronics- T/H Coupled System 103
3.2.1. Steady-state one-dimension, one-group diffusion equation 104
3.2.2. Steady-state conduction equation for fuel temperature 108
3.2.3. Steady-state convection equation for coolant temperature 110
3.2.4. Solution methods 111
3.2.5. Validation of 1-D simplified coupled system 114
3.3. Convergence Analysis using 1-D Simplified Coupled System 130
3.3.1. Construction of problem sets having various FTC and MTC 130
3.3.2. Convergence analysis of HFP problem 132
3.3.3. Convergence analysis of 150% and 50% power problems 147
3.3.4. Convergence analysis of problem with xenon equilibrium model 159
Chapter 4. Development of Pinwise Neutronics/Thermal-Hydraulics Coupled System 173
4.1. Coupling Scheme 173
4.1.1. Practical considerations of coupling neutronics and T/H code 173
4.1.2. Direct coupling: T/H code as a module of neutronics code 175
4.1.3. Coupling via wrapper code 176
4.2. Validation and Performance Examination on Pinwise Coupled System 178
4.2.1. Single assembly with nTER/ESCOT in G-S type FPI 178
4.2.2. Single assembly with nTRACER/ESCOT in G-S type FPI 182
4.2.3. Single assembly with nTRACER/ESCOT in Jacobi type FPI 185
4.2.4. VERA Problem 7 with nTER/ESCOT 188
4.2.5. OPR1000 Quarter Core with nTER/ESCOT and nTRACER/ESCOT 192
Chapter 5. Summary and Conclusions 202
Nomenclature 206
References 208
APPENDIX A. Conservation Equations in Discretized Form 212
APPENDIX B. Coupled Linear System of Scalar Equations 216
μ΄ λ‘ 219Docto
ꡬμμ SCC β ¦ νΈνμνΌμ λͺ¨λΈμμ μμ μ νμννμλ² ν μ’ μ μ μ λ²μμ λ°λ₯Έ μν λΆμ
Thesis(doctor`s)--μμΈλνκ΅ λνμ :μνκ³Ό λΆμμ’
μμν μ 곡,2006.Docto
μ²΄κ° μ€μ¬μ λΆμμ μ κ°μ§ μ±μΈμκ² λ³΅λΆλΉκΉ κΈ°λ²κ³Ό λ³΅λΆ λΈλ μ΄μ±, κ·Έλ¦¬κ³ λ€μ΄λλ―Ή κ·Όμ κ²½ μμ μ± νλ ¨μ΄ μ²΄κ° μ€μ¬μ μμ μ±κ³Ό μ΄λμ‘°μ μ λ―ΈμΉλ μν₯ λΉκ΅
Dept. of Physical Therapy/μμ¬The purpose of this study was to compare the effects of the abdominal drawing-in maneuver (ADIM), abdominal bracing (AB), and dynamic neuromuscular stabilization (DNS) on core stability, diaphragm movement, abdominal muscle thickness, and external oblique (EO) electromyography (EMG) amplitude in adults with core instability. Forty-one subjects (male = 34; mean age Β± standard deviation = 21.07 Β± 2.34) with core instability participated in this study. The subjects performed ADIM, AB, and DNS in random order. A Simi Aktisys and Pressure Biofeedback Unit (PBU) were utilized to measure core stability, an ultrasound with 3.5γ was utilized to measure diaphragm movement and ultrasound with 10γ was utilized to measure abdominal muscles thickness and surface EMG was utilized to measure EO amplitude. A one-way repeated measures analysis of variance (ANOVA) was used to determine the statistical significance of the core stability, diaphragm movement, abdominal muscles thickness, and EO amplitude across the four test conditions (rest, ADIM, AB, DNS). The significance level was set at Ξ± = 0.05. Core stability was significantly increased in DNS and AB compared to ADIM and rest (p < 0.05). Core stability tended to increase more in DNS than AB but the change was not statistically significant. Diaphragm descending movement was significantly increased in DNS compared to ADIM and AB (p < 0.05). TrA and IO thickness were significantly increased in DNS and ADIM compared to rest and AB (p < 0.05). EO amplitude was significantly increased in AB compared to rest, ADIM, and DNS. Therefore, the results of this study suggest that DNS was the most effective technique to provide core stabilization via balanced coactivation of the diaphragm and TrA with relatively less contraction of EO.ope
μμ±λλ Έμ μν΄λ¬μ€ν°μ κ³ μ μ± ν΄λ¦¬μνΈλ κΈλΌμ΄μ½ μ©μ‘μ μ΄μ©ν μ‘μμΌλ‘ κ΅¬λ³ κ°λ₯ν μλ‘μ΄ λ°μ΄μ€μΌμμ κ°λ°
MasterWe develop the new method for a facile and sensitive analytical detection of biomarkers in short time, donβt need any bulk instruments, just with naked eye using magnetic nanoclusters (MNCs) and high viscous polyethylene glycol solution. We named this detection method, magnetophoretic chromatography that uses precision pipette for visually identifiable detection. Antibody-conjugated MNCs are used to capture the biomarker (in case, alpha fetoprotein (AFP) closely related with liver cancer) from buffer solution. When biomarker induced agglutination of MNCs are occurred in the solution, magnetophoretic chromatography can separate agglutinated MNCs from remained free MNCs. This new method is only using precision pipette, pipette tip, and permanent magnet. Agglutinated MNCs and remained free MNCs solution is sucked into a precision pipette tip, then viscous polymer solution is sucked follow. Every magnetophoretic chromatography process carried out within 10 min. We determine the concentration of AFP below 0.1 ng/ml with naked eyes. This is 10 times better than conventional ELISA. In addition to that, MNC has intrinsic biomimetic property to make 3,3β,5,5β-Tetramethylbenzidine (TMB) color formation that act as horse radish peroxidase (HRP). After magnetophoretic chromatography, agglutinated MNCs are gathering at bottom side of pipette tip. Collect this part and add to TMB and H2O2 solutions. The performance of this method was evaluated by using dynamic light scattering and light absorption spectroscopy. The detection limit of this case is 0.01 ng/ml, 100 times superior to the sensitivity of conventional ELISA
Reconceptualization and Issue Analysis of Distance Training for Teacher Professional Development in the Post Covid-19 Era
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λ¨Όμ , ν¬μ€νΈμ½λ‘λ μλ μ격κ΅μ‘μ°μμ κ°λ
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ν μΈ‘λ©΄, μ΄μ λ° λ°©λ² μΈ‘λ©΄, νκ° μΈ‘λ©΄μΌλ‘ ꡬλΆνμ¬ λ
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μ¬μ 립 λ±μ μ μνμλ€. λν, κ³Όμ ν΄κ²°μ μν΄ μ°μ νλ‘κ·Έλ¨ λ€μνμ λ°λ₯Έ μ¬μ¬κΈ°μ€ λ§λ ¨, μ격κ΅μ‘μ°μ λ΄μ© μ¬μ¬ λμμ νλ, μ΅μ²¨λ¨ μλν
ν¬λ₯Ό ν¬ν¨ν μ격μ°μμ μ΄μ νκ° νλͺ©μ μ¬μ λΉ, κ΅μμ격μ°μ νκ° λ°©μ ν΄κ²°μ μ£Όμ λ°©ν₯μΌλ‘ μ μνμλ€.
The Covid19 incident has had a huge impact on the social, economic, educational and teaching communities in this country. Due to the craze of Covid-19, collective training, which used to be operated mainly on face-to-face, has become virtually impossible, and the method of teacher training, focusing on non-face-to-face distance education, has to be newly reorganized around new training purposes and forms. This study explored the current status and future development direction of distance training for teacher professional development as an alternative way to strengthen teacher expertise in the Post-Covid19 era.
First of all, the concept of distance teacher training was defined as teacher professional development, operated freely either in real time or non-real time through interaction among instructors, learners, and delivery systems by means of diverse media, even though instructors and learners were separated from each other. The issues regarding the distance teacher training were divided into re-conceptualization issue, operation and method issue, and evaluation issue and discussed respectively. The principles of distance teacher training for post-covid19 era were presented as autonomy, professionality, accountability, adaptability and efficiency. To resolve the current issues of distance teacher training, redefinition of the legal basis for distance teacher training, improvement of the proportion of distance teacher training, and redefinition of the concept of teacher training methods were suggested as the challenges for the future. In addition, the main solutions were proposed as follows: to prepare the criteria for evaluation according to the diversification of training programs, expand the scope of targets of evaluation for distance teacher training contents, expand the evaluation items including cutting-edge edutech for operation of the distance teacher training institutes, and reform the evaluation method for teacher qualification.N
A Design Guide for 3-stage CMOS Nested Gm-C Operational Amplifier with Area or Current Minimization
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