Recent newspaper reports appeared to cast doubt over the future of the Red Arrows.
The Red Arrows have only missed one appearance since the air show began 20 years ago in Londonderry.
The icy conditions have also forced the Red Arrows display team to move their training to Anglesey in Wales.
There will also by a fly-past by the Red Arrows display team.
Tens of thousands of visitors are expected in Bournemouth for the four-day festival which will see the Red Arrows' nine scarlet Hawks fly three times.
Inside No 10 they joke that the annual scare story about scrapping the Red Arrows or the Trooping of the Colour will surely follow soon.
He told them that Flt Lt Cunningham had fulfilled his dream of being selected to fly with the Red Arrows in 2010 after flying operational sorties in Iraq.
BBC: Members of the RAF carry the coffin into Coventry Cathedral
The Red Arrows are often seen at major national events in the UK and were prominent at celebrations last year for the Queen's Diamond Jubilee and the London Olympics.
The Red Arrows lost two pilots in 2011 with Flt Lt Cunningham dying in November and pilot Flt Lt Jon Egging, 33, from Rutland, dying when his Hawk aircraft came down after performing at an air show near Bournemouth airport in Dorset in August.
The RAF Red Arrows appearance at the Portrush air show may be cancelled after a pilot died in a crash in Dorset.
Hundreds of people turned out for the funeral of Red Arrows pilot Flt Lt Sean Cunningham at Coventry Cathedral.
BBC: Members of the RAF carry the coffin into Coventry Cathedral
The celebrations have also featured flying displays from USAF F-15 jets and the RAF's Red Arrows, along with entertainment including dance displays.
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