Jagamantha Kutumbam naadi by Sirivennela Sitaramasatrytelugu song meaning

Jagamantha Kutumbam  telugu song meaning

( In SUN's own voice about its entirety)

Limiting the known world of life and cycles to Sun and earth (planets)

In parallel to a poet's  dream (brahman) .

Jagamantha kutumbam naadi, Ekaki jeevitham naadi

Samsara saagaram naade, Sanyasam shunyam naade

In poet's dream, all that he watches and does

And runs the show alone just like how the sun generates energy

For all that moves .. He is the lone mover who runs the show.

He who runs the cycle of life on earth, he is the lone sanyasi (giving away ideas like sun gives away energy), and the whole of it.

Kavinai, kavithanai, bharyanai, bharthanai,

Mallela darilo, manchu edarilo

Panniti jaya gitala, kanniti jalapatala

Nato nenu anugamistu, naato nene ramistuu

Vantarinai anavatharam, kantunnanu nirantharam

Kalalni, kathalni, maatalni, paatalni

Rangulni, ranga vallulni, kaavya kanyalni, aada pillalni

(Stressing on non-duality nature of both poets dream and our world as

The source of both duals )

I , the poet and the poem

Husband and wife

As the success and the failures

I walk alone with myself ,enjoying each moment with myself,

I am The infinite one , 

Ideas, concepts, words, songs

Colours, and its designs,

Its inspirations and aspirations.

( kaavya kanyalu, aada pillalni-

Based on hindu culture,  women from one family

Leave theirs to new family with marriage bringing

Added culture  and as a bearer of child of men family-

The analogy is with poets idea and that travel from on person

To other inspiring the new poet to generate more ideas( birth)

Fullfillings his  aspirations deriving inspiration from diff poet. 

mIntiki kantini nenai Kantaku mantanu nenai

Mantala maatuna vennela nenai

Ravi nai shashi nai shivamai nishinai

Naa to nenu sahagamistunna.. Naa to nenu ramistuu..

I am the eye of the sky, I am the light to the eye

I am the  soothing life care behind the intense fire,

I am the sun, the moon , the good and bad,

I am the partner in my journey, enjoying the lone journey 

Ontarinai prati nimusham Kantunnanu nirantharam

Kiranalni kiranala Harinalni harinaala

Charanalni charanala Chalanana kanarana

Gamyala kaalanni Indrajalanni

The lone and whole, I  generate the unending

Light rays , their colour,speed,direction moving towards

Times of Unkowing destination , as a maaya  

Gali pallakilo tarali Naa pata papa uregi vedale

Gontu vakili musi marali tanu Mugapoina naa gunde migile

Naa hrudayame naa logili Naa hrudayame naa pataku talli

Naa hrudayame naa ku aali Naa hrudayamlo idi cine nivali..

[ The father (poet-sun) sends his daughter( ideas-energy) to other family

On pallaki to husbands location]

Summarizing on personal identity , the following lines

(The poet creates and idea after lot of internal struggle and as he sends his

Message out in the air and leaving, as his throat chokes in emotion

And all he is left is with himself  (behest of idea),  before another idea strikes-

This gap is his identity .)

The heart (consciousnes -atma) is my house , and is mother of mysong,

Is my wife and the whole show of nature runs in my heart.

Magical Night at a Beach

ఓ కాలమా .. కరిగిపోవె 

ఈ సమయమే ... నిలిచిపోవె.

ఇసుకతిన్నెల   .. పై నే వాలి     

మసకవెన్నెల .. పొందుకో రి

                     .. అందుకోని

                     .. హత్తుకోని

                     .. నిదురకోనీ  

నీటినురుగే  .. తాకగా

అలలు సడులే.. చెయగా

జోలపాటగ .. మారగా..

ఈ..  లోకమంత

నా .. సొంతమంటా 

ఈ .. రాతిరంతా 

రాగం .. ఆగదంట  

ఓ సంద్రమా...   సాయపడవే

దుప్పటల్లె నన్ను .. చుట్టుకొవే

ఓ చంద్రమా .. చెంతరావే..

వెండిమబ్బులే  .. వెంటతెవే   

వాన జల్లై   .. జోరుగా

నీలి మేఘం .. కురవగా 

తిమిరతెరలే .. తొలగగా  

గాథలన్నీ  .. చెరపగా 

బాధలన్నీ .. మరువగా

ఈ రేయే  .. కొత్త ఉదయం  

ఇదేలే   .. సుప్రభాతం  

నేడె .. కడలితీరం

చేసే  ..   ఇంద్రజాలం

ఆవేదన

నా ప్రతి మధురగీతానా 

నీ సడి కొలువుతీరేనా    

ఈ ప్రతి మౌనరాగానా  

నా జత కొరిరాలేవా 

    చినుకై కదలి

    నదిలా.. దొరలి 

    రావా

    నా దరి మాటున 

    నా మది సంద్రాన 

    రావా

   నీ  గతి  స్వరముగ

   నీ  శ్రుతిలయలిక 

   తేవ

    నా మాట మన్నించవ

అలలై అలలై ఎగిసె

కలలె కళకై నెడు

పలికే పలుకే పాటగ 

నాలొని ప్రతి అణువణువు

అడిగే  అడిగే  నన్నే 

ఎవరు ఎవరు అంటూ 

ఎదుటే ఎదురై వచ్చె  

సరిగమపదనిస సంగీతం

నాలో  వింతగ

కలిగేలే  కొత్తగ 

ఒక ఊహే  మొదటిగా

తన  స్నే హం  మీటగ

పలికావే   గాత్రమా  

సరిగమనంలో  సరిగమా 

ఈ  సందేశమేచేరగా    

ఏ  సందేహమేలేదిక 

నా... పయనమే  పాటగ   

సాగే .. సంగీతమే శ్వాసగా     

 

ఆలోచన

నే చూస్తూనే .. ఓ ఆలోచన
నే వింటూనే .. ఓ ఆలోచన
నే చూస్తున్నది వింటున్నది .. ఓ ఆలోచన



నా స్పర్శయిన .. ఓ ఆలోచన
నా శ్వాసయిన .. ఓ ఆలోచన
నా శ్వాసను స్పర్శించినది ఓ ఆలోచన




నా స్నేహము కోరి
నా ముందు వాలి
నా లోన చేరి
నా లోన దాగెను .. ఈ ఆలోచన.



అనువనువుకు చేరి
అనుకువగా మారి
మురిపించెను నన్నే
మరిపించెను నన్నే .. ఈ ఆలోచన.



నా స్వార్ధముగా నను సంధించి
నా స్వ అర్ధమును బంధించి
నా రథమును చేపట్టి
సారథి అయి సంచరించి
సర్వము తానే అనిపించేలచేసేను
సత్యము తానై కనిపించేలా ..  ఈ ఆలోచన.



అంధకారములో మునిగేలా
ఆవేశముతో కదిలేలా
ఆనందము తోలగేల
అలజడులు సృష్టించెను .. ఈ ఆలోచన.




కలలాగ చేరినా
కళలాగ మారినా
కలకాలము ఉండునా .. ఈ ఆలోచన ..



ఆలోచనలకు ఆది ఒక ఆలోచనయే
ఆలోచనలకు అంతము ఒక ఆలోచనయే



... రాజేష్ కాట్రెడ్డి

Direct Numerical Simulation of the Unsteady Navier-Stokes Equations

Problem Statement:

To develop a solver to numerically solve the unsteady Navier-Stokes equation using Direct numerical simulation for a homogeneous isotropic turbulent shear flow.

Theoretical background:

Unsteady Navier-Stokes equation for incompressible flow is given by following equations. The equations shown are non-dimensional form of the NS equations.

There are several methods available to solve the equations numerically. Finite difference method is adopted to solve the simultaneous system of equations 2d simulations can be performed using stream function method but obviously not valid for a 3d simulation. Hence direct numerical simulation of the momentum equations is adopted and hence a poisson equation has to solved simultaneously for pressure distribution to have divergence free flow.

Several methods are established so far in literature to solve these equations like MAC, SIMPLE, SIMPLEC and so on. But the most well know method is the Marker And Cell(MAC) approach.

Staggered Grid:

The staggered grid configuration is a shown in the figure. The pressure values are stored in the center of the cell and the velocity values are stored along the surface of the cell. This way of storing the values helps in eliminating the formation of checkered pressure distribution of the flow field.

Marker and Cell method:

The finite difference form of equation is solved using Marker and Cell method in the present assignment. This formulation gives explicit equations for the velocity in time from the momentum equations. The pressure field is also solved along with these equations as a poisson equation using continuity. The formulation and the pressure estimation are extensively done by T.Sundarajan in Computational fluid flow text book. The derivations have minor correction in notations.

Initial and Boundary Conditions:

2D Lid driven cavity:

The top wall is the moving boundary and has the boundary

Conditions of U= Uwall and V = 0

And all other walls have U = 0, and V= 0 as the boundary conditions,

3D Lid driven cavity:

The top wall is the moving boundary and has the boundary

Conditions of U= Uwall and V = 0

And all other walls have U = 0, and V= 0 as the boundary conditions

Including the front and the back side wall.

3D Lid driven cavity with top and bottom walls Moving:

The top wall is the moving boundary and has the boundary

Conditions of U= Uwall and V = 0

The bottom wall is the moving boundary and has the boundary

Conditions of U = - Uwall and V = 0

And all other walls have U = 0, and V= 0 as the boundary conditions

DNS simulations: 3D

3D Lid driven cavity with top and bottom walls Moving:

The top wall is the moving boundary and has the boundary, Conditions of U= Uwall and V = 0

The bottom wall is the moving boundary and has the boundary,Conditions of U = - Uwall and V = 0

And all other walls have symmetry B.C U wall = U inside, and V wall= V inside.

Results and Discussion:

2D Lid Driven Cavity:

The Results obtained for the cases of Re 100 and Re 400 are shown below. The velocity fields evaluated agrees with the results obtained by Ghia et al. The Velocity contour plot shown in the figure below shows the recirculation zone and the overall rotation of the fluid along with the boundary layer. The velocities are compared on the lines passing through the mid sections.

The 2D code converges for a under relaxation factor of 0.7. The flow is also divergence free.

Re 100:

Re 400:

3D Lid Driven Cavity:

A similar attempt is made to solve flow in a 3d cavity with moving top wall. The velocity contour plots are as shown below are on a plane passing through the mid-point of the cavity. The flow is observed to be similar to the pattern observed in 2d case. An attempt is also made to capture the flow structure when both the top and bottom walls are moving for a 3D cavity. The code was able to capture the flow structures. The comparison data was not available for the 3D case but the contour plots agree with the flow structures obtained in the literature.

Re 100: Top Wall moving from left to right

Re 100: Top Wall moving from right to left , bottom Wall moving from left to right

DNS of Homogeneous and Isotropic flow:

An attempt was made to simulate the DNS results of the homogeneous isotropic flow for a Reynolds number 1000. The velocity and pressure contours at the mid-plane are shown at a time instant. The results show the formation of various structures initial over time of 0.5sec. The results later observed to diverge and the code is unstable with the given input parameters of dx, dy, dz and dt. Hence an attempt has to made to reduce the grid spacing and time step in order to obtain converged values.

\

Velocity contours of a plane close to the symmetric boundary show the development of the roll ups.

REFRERENCES:

1)V.Ghia, K.N.Ghia and C.T.Shin, "High-Re solutions for incompressible flow using the Navier-Stokes equations and a multi-grid method.”

2)T. Sundararajan,K. Muralidhar,”Computational fluid flow and Heat Transfer”, IIT Kanpur series texts.