Explicit formulations for evaluation of velocity gradients using boundary-domain integral equations in 2D and 3D viscous flows

Xiao-Wei Gao

首页> 外文期刊>International Journal for Numerical Methods in Fluids >Explicit formulations for evaluation of velocity gradients using boundary-domain integral equations in 2D and 3D viscous flows

【24h】

Explicit formulations for evaluation of velocity gradients using boundary-domain integral equations in 2D and 3D viscous flows

机译：使用2D和3D粘性流中的边界域积分方程来评估速度梯度的显式公式

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

In this paper, explicit boundary-domain integral equations for evaluating velocity gradients are derived from the basic velocity integral equations. A free term is produced in the new strongly singular integral equation, which is not included in recent formulations using the complex variable differentiation method (CVDM) to compute velocity gradients (Int. J. Numer. Meth. Fluids 2004; 45:463-484; Int. J. Numer. Meth. Fluids 2005; 47:19-43). The strongly singular domain integrals involved in the new integral equations are accurately evaluated using the radial integration method (RIM). Considerable computational time for evaluating integrals of velocity gradients can be saved by using present formulation than using CVDM. The formulation derived in this paper together with those presented in reference (Int. J. Numer. Meth. Fluids 2004; 45:463-484) for 2D and in (Int. J. Numer. Meth. Fluids 2005; 47:19-43) for 3D problems constitutes a complete boundary-domain integral equation system for solving full Navier-Stokes equations using primitive variables. Three numerical examples for steady incompressible viscous flow are given to validate the derived formulations.

机译：在本文中，从基本速度积分方程推导了用于评估速度梯度的显式边界域积分方程。在新的强奇异积分方程中产生了一个自由项，该方程不包含在使用复杂变量微分方法（CVDM）来计算速度梯度的最新公式中（Int。J. Numer。Meth。Fluids 2004; 45：463-484 ; Int。J. Numer。Meth。Fluids 2005; 47：19-43）。使用径向积分方法（RIM）可以精确评估新积分方程中涉及的强奇异域积分。与使用CVDM相比，使用本公式可以节省用于评估速度梯度积分的大量计算时间。本文中得出的配方与参考文献（Int。J. Numer。Meth。Fluids 2004; 45：463-484）和（Int。J. Numer。Meth。Fluids 2005; 47：19- 43）的3D问题构成了一个完整的边界域积分方程系统，用于使用原始变量求解完整的Navier-Stokes方程。给出了稳定的不可压缩粘性流的三个数值示例，以验证所得出的公式。

著录项

来源
《International Journal for Numerical Methods in Fluids》 |2007年第11期|共18页
作者
Xiao-Wei Gao;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类流体力学;
关键词
Viscous flow; Navier-Stokes equations; Boundary element method (BEM); Complex variable differentiation method (CVDM); Fundamental solution;

机译：粘性流;Navier-Stokes方程;边界元法（BEM）;复变量微分法（CVDM）;基本解;

相似文献

外文文献
中文文献
专利

1. Explicit formulations for evaluation of velocity gradients using boundary-domain integral equations in 2D and 3D viscous flows [J] . Xiao-Wei Gao International Journal for Numerical Methods in Fluids . 2007,第11期

机译：使用2D和3D粘性流中的边界域积分方程来评估速度梯度的显式公式
2. Solution of three-dimensional viscous flows using integral velocity-vorticity formulation [J] . Baoshan Zhu, Ki-Deok Ro Engineering analysis with boundary elements . 2012,第12期

机译：使用积分速度涡度公式求解三维粘性流
3. Boundary-domain integral method using a velocity-vorticity formulation [J] . L. Skerget, Z. Rek Engineering analysis with boundary elements . 1995,第4期

机译：使用速度涡度公式的边界域积分法
4. Boundary-Domain Integral Equations for Variable Coefficient Dirichlet BVP in 2D Unbounded Domain [C] . T. T. Dufera, S. E. Mikhailov International Society for Analysis, Applications, and Computation Congress . 2019

机译：2D无限域变系数Dirichlet BVP的边界域积分方程
5. Integral equation methods for problems in electrostatics, elastostatics and viscous flow [D] . Rachh, Manas 2015

机译：静电，弹性和粘性流问题的积分方程方法
6. Method for the calculation of velocity rate of flow and viscous drag in arteries when the pressure gradient is known [O] . J. R. Womersley 1955

机译：已知压力梯度时计算动脉速度流速和粘滞阻力的方法
7. P981Lvot area measurement using gated ct data reclassifies aortic stenosis severity as graded by echocardiographyP982Paradoxical low-flow low-gradient aortic stenosis: an intermediate state between moderate and severe aortic stenosis?P983Can rheumatic significant mitral stenosis be a cause of paradoxical low gradient, low flow, in patients with severe aortic stenosis? an echocardiographic and outcome studyP984Clinical and hemodynamic comparison of isolated versus combined aortic and mitral stenosisP985Echocardiographic end-diastolic velocity in the proximal descending aorta should be interpreted with caution when the ascending aorta is dilated: insights from cardiovascular magnetic resonanceP987Prevalence of atrial mitral regurgitation in patients with severe mitral regurgitationP988Role of 2D/3D echocardiography in the risk stratification of endocardial lead-related tricuspid regurgitation: a single-centre study among?241 patientsP989When TEE is needed in patients with staphylococcus aureus bacteremia for the assessment of risk profile of infective endocarditis?P990Appropriateness criteria to echocardiograms for suspected infective endocarditis: experience of a tertiary referral centerP991Independent predictors of outcome in infective endocarditisP992The role of transesophageal cardiography in clinical course and prognosis of complicated infective endocarditis in critically ill patients: our 15 years experienceP993Left bundle branch block atypical pattern as a prognostic determinant in patients taken to TAVIP994Efficacy of long-term ivabradine therapy in severe systolic chronic heart failure patients with and without type 2 diabetes mellitusP995Relations between left ventricular reverse remodeling and serum markers of extracellular matrix fibrosis in dilated cardiomyopathyP996The healthy left ventricle accommodates an increasing vortex formation time for volume transfer in diastolic filling :Implications for heart failureP997Evolutionary changes of pulmonary artery pressure after left ventricular assist device implantP998Functional correlates and prognostic value of coronary flow velocity reserve by vasodilator stress echocardiography in hypertrophic cardiomyopathyP999Quantification of myocardial performance in patients with non-obstructive versus latent-obstructive hypertrophic cardiomyopathyP1000Lifelong arrhythmic risk stratification in arrhythmogenic right ventricular cardiomyopathy: distribution of events and impact of periodical reassessmentP1001Impact of fibrosis visualized by CMR in vectorcardiogram recordings of patients with suspected arrhythmogenic cardiomyopathyP1002Determinants of the beneficial effect of aldosterone antagonism on exercise capacity in heart failure with reduced ejection fractionP1003Myocardial strain values in patients with acute myocarditis and preserved ejection fraction. A magnetic resonance feature tracking studyP1004Detection of subclinical left ventricular dysfunction by speckle tracking echocardiography in patients with myocarditis without prominent wall motion abnormalitiesP1005Aborted sudden cardiac death patients aged <50 years show only mild alterations on cardiac magnetic resonance imagingP1006Relationships between subepicardial and subendocardial longitudinal strain with late gadolinium enhancement in uncomplicated hypertensive patients [O] . L. Moderato, C. Di Nora, A. Soufiani, 2016

机译：P981LVOT区域测量使用门控CT数据重新分类主动脉狭窄的严重程度，以超声心动图7982分类为分类，如二醇的低流量低梯度主动脉狭窄：中度和严重主动脉狭窄之间的中间状态？P983CAN风湿显着二尖瓣狭窄是矛盾的低梯度，低流量的原因在严重主动脉狭窄的患者中？超声心动图和结合分离的主动脉和二尖瓣术和二尖瓣狭窄的血液动力学比较的超声心动图和血液动力学比较在近期下降主动脉中应当谨慎地解释升高的主动脉：从心血管磁共振的洞察中的心血管磁共振PREValence在严重的患者中的洞察中解释二尖瓣regurgitationP988 rool 2D / 3D超声心动图在内膜内铅相关三尖瓣反流的风险分层：241例患者中的单一学习，在葡萄球菌的患者中需要TEE，用于评估感染性心内炎的风险概况？P990姑息度标准怀疑感染心内膜炎的超声心动图：第三节推荐中心的经验，感染endocardisp992在感染性Endocardisap999中的临床过程中的作用和复杂感染的预后的作用生病患者的心内膜炎：我们的15年经验训练束分支块的非典型模式作为患者的预后决定因素，以TaviP994患者在严重的收缩期慢性心力衰竭患者中患者，无型糖尿病患者左心室反向重塑和血清基质纤维化的血清标志物在扩张心肌脑肿瘤中，健康的左心室容纳舒张填充中体积转移的增加的涡旋形成时间：对左心室辅助装置Implantp998函数相关和冠状动脉速率储备的肺动脉压的肺动脉压的影响。血管扩张器应力超声心动图在肥厚性心肌病型499中，非阻塞性患者心肌表现与潜在阻塞性肥厚性心肌病的患者患者患者患者患者血小板治疗1000Lifelong心律失常风险Strati心律病学右心室心肌病的发动机：CMR患者血管瘤术治疗患者血管动脉瘤患者血管诊断患者血管心目记录中CMR的纤维化术治疗的事件和影响患有急性心肌炎和保存的喷射分数。磁共振特征跟踪STOPYP1004DETTECTECTECTET通过突出壁运动患者的斑点左心室功能障碍的亚临床左心室功能障碍，没有突出的壁运动异常，P1005aborted突发的心脏死亡患者<50岁的突然性心脏死亡患者只显示心脏磁共振术中的轻度改变，钆和肾外腺纵向应变之间的心脏磁共振成像P1006相关性简单的高血压患者增强

Explicit formulations for evaluation of velocity gradients using boundary-domain integral equations in 2D and 3D viscous flows

摘要

著录项

相似文献

相关主题

期刊订阅