{"id":12,"date":"2021-04-20T16:05:14","date_gmt":"2021-04-20T08:05:14","guid":{"rendered":"https:\/\/sites.gc.sjtu.edu.cn\/lpwang\/?page_id=12"},"modified":"2021-04-20T16:12:04","modified_gmt":"2021-04-20T08:12:04","slug":"courses","status":"publish","type":"page","link":"https:\/\/sites.gc.sjtu.edu.cn\/lpwang\/courses\/","title":{"rendered":"Courses"},"content":{"rendered":"

Offered courses in the past semesters:<\/strong><\/p>\n

VM235<\/u><\/strong>\u00a0Fundamentals of thermodynamics (undergrad)<\/p>\n

VM432<\/u><\/strong>\u00a0Combustion (grad + undergrad)<\/p>\n

VM505<\/u><\/strong>\u00a0Finite element analysis and computational mechanics\u00a0(grad + undergrad)<\/p>\n

Regularly offered courses:<\/strong><\/p>\n

VM523<\/u><\/strong>\u00a0Computational fluid dynamics (grad)<\/p>\n

Textbook: Essential Computational Fluid Dynamics, Oleg\u00a0Zikanov, 2010, John Wiley & Sons, Inc.<\/p>\n

Course description: Governing Equations and\u00a0Discretization\u00a0\/ Integration Fundamentals<\/p>\n

Compressible\u00a0Navier-Stokes \/ Euler equations;<\/p>\n

Incompressible\u00a0Navier-Stokes \/ Euler equations<\/p>\n

Cartesian Grids, structured grids, and unstructured grids;<\/p>\n

Finite difference method, brief introduction of finite volume and finite element methods<\/p>\n

Numerical solution of some simple equations: Upwind methods;\u00a0Upwinding\u00a0for a scalar equation; Boundary conditions; Extension to higher-order accuracy: Explicit time-stepping methods<\/p>\n

Project:<\/p>\n

    \n
  1. numericalsolution of the incompressible\u00a0Navier-Stokes equations<\/li>\n
  2. numericalsolution of the compressible\u00a0Navier-Stokes equations<\/li>\n<\/ol>\n

    Topic discussion (turbulence modeling, LES etc.)<\/p>\n

    VM524<\/u><\/strong>\u00a0Turbulence\u00a0(grad)<\/p>\n

    Textbook:<\/p>\n

    Turbulent Flows, S. Pope, Cambridge (2000);<\/p>\n

    A First Course in Turbulence, H.\u00a0Tennekes\u00a0and J.L. Lumley, MIT 1972<\/p>\n

    Course Description: Introduction: turbulence in nature and science; the nature of turbulence<\/p>\n

    Methods of analysis: dimensional analysis, local invariance, mathematical description, Karman-Harwarth\u00a0equation<\/p>\n

    Scales in turbulence: energy cascade,\u00a0Kolmogorov\u00a0hypothesis<\/p>\n

    Free shear turbulence: jet flow and self-similarity<\/p>\n

    Wall shear turbulence: mean profiles, Reynolds stress, length scales<\/p>\n

    Passive scalar transport in turbulence:<\/p>\n

    Introduction of turbulence modeling and simulation: direct numerical simulation, turbulence modeling<\/p>\n

    VM320<\/u><\/strong>\u00a0Fluid mechanics (undergrad)<\/p>\n

    Textbook:\u00a0Fluid mechanics, 4th<\/sup>\u00a0edition, by\u00a0Pijush\u00a0K.\u00a0Kundu,\u00a0Ira\u00a0M. Cohen<\/p>\n

    Course description:<\/p>\n

    Chapter 1: Introduction: Field phenomena: compared with systems consisting of isolated particles; concepts of solids and fluids; continuum hypothesis; transport phenomena; surface tension; basis review of thermodynamics; static equilibrium<\/p>\n

    Chapter 2:Bases of vector analysis: Space and coordinate; rotation of axes; second-order tensor and tensor contraction;\u00a0Kronecker\u00a0Delta and alternating symbol; dot and cross product; divergence and gradient operators; symmetric and\u00a0antisymmetric\u00a0tensors;\u00a0Eigenvalues\u00a0and eigenvectors of a symmetric tensor or a symmetric matrix; Multi-variables functions; force on a surface; Gauss and Stokes\u2019 theorems;<\/p>\n

    Chapter 3: Kinematics:\u00a0Eulerian\u00a0and\u00a0Lagrangian\u00a0descriptions; Streamline, path line streak line; Strain rate;\u00a0Vorticity\u00a0and circulation; Relative motion near a point; Strain rate and angular velocity; Solid body motion and\u00a0irrotation\u00a0vortex; 1D, 2D and 3D flows<\/p>\n

    Chapter 4: Conservation laws: 1D Leibnitz theorem; The derivatives of volume integrals; Conservation of mass; Momentum conservation; Constitutive equation for Newtonian fluids;\u00a0Navier-Stokes equation; Application of the Reynolds transport theorem; Rotating coordinate system; mechanical energy equation; Mechanical energy equation; Bernoulli equation;\u00a0Boussinesq\u00a0approximation; Boundary conditions<\/p>\n

    Chapter 6: Laminar flows: Steady flow between parallel plates; Steady flow in a pipe; Rotating flows; Impulsive started plate; Flow due to an oscillating plate; Reynolds number; creeping flow around a spherical surface.<\/p>\n

    Chapter 7: Dynamics similarity: For systems with deterministic governing equations; systems without explicit governing equations; Common\u00a0nondimensional\u00a0parameters.<\/p>\n

    Chapter 8: Boundary layers and related topics: Basic idea; Different measures of boundary layer thickness; Boundary layer on a flat plate; Structure of boundary layers; Von Karman momentum integral; Boundary layer with pressure gradient; Flow past a cylinder, sphere and the application to physical objects; 2D jets; Secondary flows; Decay of a laminar shear flow;<\/p>\n

    (Chapter 9(selective): Turbulence: Some basic concepts; Averaged equations)<\/p>\n

    Chapter 10: Compressible flows: Compressibility; Speed of sound; Basic relations for 1D flow; Area-velocity relations; Normal shock wave<\/p>\n

    \n","protected":false},"excerpt":{"rendered":"

    Offered courses in the past semesters: VM235\u00a0Fundamentals of thermodynamics (undergrad) VM432\u00a0Combustion (grad + undergrad) VM505\u00a0Finite element analysis and computational mechanics\u00a0(grad + undergrad) Regularly offered courses: VM523\u00a0Computational fluid dynamics (grad) Textbook: Essential Computational Fluid Dynamics, Oleg\u00a0Zikanov, 2010, John Wiley & Sons, Inc. Course description: Governing Equations and\u00a0Discretization\u00a0\/ Integration Fundamentals Compressible\u00a0Navier-Stokes \/ Euler equations; Incompressible\u00a0Navier-Stokes \/ Euler […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"class_list":["post-12","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.gc.sjtu.edu.cn\/lpwang\/wp-json\/wp\/v2\/pages\/12","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.gc.sjtu.edu.cn\/lpwang\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.gc.sjtu.edu.cn\/lpwang\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.gc.sjtu.edu.cn\/lpwang\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.gc.sjtu.edu.cn\/lpwang\/wp-json\/wp\/v2\/comments?post=12"}],"version-history":[{"count":2,"href":"https:\/\/sites.gc.sjtu.edu.cn\/lpwang\/wp-json\/wp\/v2\/pages\/12\/revisions"}],"predecessor-version":[{"id":36,"href":"https:\/\/sites.gc.sjtu.edu.cn\/lpwang\/wp-json\/wp\/v2\/pages\/12\/revisions\/36"}],"wp:attachment":[{"href":"https:\/\/sites.gc.sjtu.edu.cn\/lpwang\/wp-json\/wp\/v2\/media?parent=12"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}